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2134424520 = 233952711
BaseRepresentation
bin111111100111000…
…1011101111001000
312111202022000000000
41333032023233020
513332403041040
6551444043000
7103615211004
oct17716135710
95452260000
102134424520
119a5910808
124b6993460
132802819b7
1416368b704
15c75b7130
hex7f38bbc8

2134424520 has 160 divisors (see below), whose sum is σ = 7206217920. Its totient is φ = 568969920.

The previous prime is 2134424519. The next prime is 2134424521. The reversal of 2134424520 is 254244312.

2134424520 is a `hidden beast` number, since 2 + 134 + 4 + 2 + 4 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2134424519) and next prime (2134424521).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2134424521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 785965 + ... + 788675.

It is an arithmetic number, because the mean of its divisors is an integer number (45038862).

Almost surely, 22134424520 is an apocalyptic number.

2134424520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603108960).

2134424520 is an abundant number, since it is smaller than the sum of its proper divisors (5071793400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2134424520 is an frugal number, since it uses more digits than its factorization.

2134424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2134424520 is about 46199.8324672287. The cubic root of 2134424520 is about 1287.5386273012.

Adding to 2134424520 its reverse (254244312), we get a palindrome (2388668832).

The spelling of 2134424520 in words is "two billion, one hundred thirty-four million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2711 2916 3240 3645 4374 4860 5422 5832 6561 7290 8133 8748 9720 10844 10935 13122 13555 14580 16266 17496 19683 21688 21870 24399 26244 27110 29160 32532 32805 39366 40665 43740 48798 52488 54220 65064 65610 73197 78732 81330 87480 97596 98415 108440 121995 131220 146394 157464 162660 195192 196830 219591 243990 262440 292788 325320 365985 393660 439182 487980 585576 658773 731970 787320 878364 975960 1097955 1317546 1463940 1756728 1976319 2195910 2635092 2927880 3293865 3952638 4391820 5270184 5928957 6587730 7905276 8783640 9881595 11857914 13175460 15810552 17786871 19763190 23715828 26350920 29644785 35573742 39526380 47431656 53360613 59289570 71147484 79052760 88934355 106721226 118579140 142294968 177868710 213442452 237158280 266803065 355737420 426884904 533606130 711474840 1067212260 2134424520