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2921053720 = 23513131137313
BaseRepresentation
bin1010111000011011…
…1011111000011000
321112120110220101211
42232012323320120
521440242204340
61201504152504
7132246355414
oct25606737030
97476426354
102921053720
111269949992
12696308734
13377232970
141d9d35d44
1512169c5ea
hexae1bbe18

2921053720 has 128 divisors (see below), whose sum is σ = 7206978240. Its totient is φ = 1059102720.

The previous prime is 2921053699. The next prime is 2921053727. The reversal of 2921053720 is 273501292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2921053727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9332284 + ... + 9332596.

Almost surely, 22921053720 is an apocalyptic number.

2921053720 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 2921053720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603489120).

2921053720 is an abundant number, since it is smaller than the sum of its proper divisors (4285924520).

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

2921053720 is a wasteful number, since it uses less digits than its factorization.

2921053720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2921053720 is about 54046.7734467100. The cubic root of 2921053720 is about 1429.4858079267.

The spelling of 2921053720 in words is "two billion, nine hundred twenty-one million, fifty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 137 260 262 274 313 520 524 548 626 655 685 1048 1096 1252 1310 1370 1565 1703 1781 2504 2620 2740 3130 3406 3562 4069 5240 5480 6260 6812 7124 8138 8515 8905 12520 13624 14248 16276 17030 17810 17947 20345 32552 34060 35620 35894 40690 41003 42881 68120 71240 71788 81380 82006 85762 89735 143576 162760 164012 171524 179470 205015 214405 233311 328024 343048 358940 410030 428810 466622 533039 557453 717880 820060 857620 933244 1066078 1114906 1166555 1640120 1715240 1866488 2132156 2229812 2333110 2665195 2787265 4264312 4459624 4666220 5330390 5574530 5617411 9332440 10660780 11149060 11234822 21321560 22298120 22469644 28087055 44939288 56174110 73026343 112348220 146052686 224696440 292105372 365131715 584210744 730263430 1460526860 2921053720