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2134235160 = 2332541914149
BaseRepresentation
bin111111100110101…
…1101100000011000
312111201221101020200
41333031131200120
513332331011120
6551440022200
7103613461641
oct17715354030
95451841220
102134235160
119a57a1512
124b6901960
13280216755
1416363c6c8
15c757ae90
hex7f35d818

2134235160 has 96 divisors (see below), whose sum is σ = 6953310000. Its totient is φ = 567730944.

The previous prime is 2134235149. The next prime is 2134235167. The reversal of 2134235160 is 615324312.

2134235160 is a `hidden beast` number, since 213 + 42 + 351 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134235167) 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 23 ways as a sum of consecutive naturals, for example, 143766 + ... + 157914.

Almost surely, 22134235160 is an apocalyptic number.

2134235160 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 2134235160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476655000).

2134235160 is an abundant number, since it is smaller than the sum of its proper divisors (4819074840).

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

2134235160 is a wasteful number, since it uses less digits than its factorization.

2134235160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2134235160 is about 46197.7830636926. The cubic root of 2134235160 is about 1287.5005506015.

Adding to 2134235160 its reverse (615324312), we get a palindrome (2749559472).

The spelling of 2134235160 in words is "two billion, one hundred thirty-four million, two hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 419 838 1257 1676 2095 2514 3352 3771 4190 5028 6285 7542 8380 10056 12570 14149 15084 16760 18855 25140 28298 30168 37710 42447 50280 56596 70745 75420 84894 113192 127341 141490 150840 169788 212235 254682 282980 339576 424470 509364 565960 636705 848940 1018728 1273410 1697880 2546820 5093640 5928431 11856862 17785293 23713724 29642155 35570586 47427448 53355879 59284310 71141172 88926465 106711758 118568620 142282344 177852930 213423516 237137240 266779395 355705860 426847032 533558790 711411720 1067117580 2134235160