Search a number
-
+
68896512 = 2832171759
BaseRepresentation
bin1000001101101…
…00011100000000
311210122022020200
410012310130000
5120114142022
610500405200
71464416316
oct406643400
9153568220
1068896512
1135987a73
121b0a6800
1311373489
1492160b6
1560adbac
hex41b4700

68896512 has 108 divisors (see below), whose sum is σ = 210450240. Its totient is φ = 21602304.

The previous prime is 68896447. The next prime is 68896517. The reversal of 68896512 is 21569886.

It is a super-2 number, since 2×688965122 = 9493458731532288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68896517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38289 + ... + 40047.

Almost surely, 268896512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105225120).

68896512 is an abundant number, since it is smaller than the sum of its proper divisors (141553728).

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

68896512 is a wasteful number, since it uses less digits than its factorization.

68896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1781 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 68896512 is about 8300.3922798865. The cubic root of 68896512 is about 409.9514358501.

The spelling of 68896512 in words is "sixty-eight million, eight hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 1759 2176 2304 2448 3264 3518 4352 4896 5277 6528 7036 9792 10554 13056 14072 15831 19584 21108 28144 29903 31662 39168 42216 56288 59806 63324 84432 89709 112576 119612 126648 168864 179418 225152 239224 253296 269127 337728 358836 450304 478448 506592 538254 675456 717672 956896 1013184 1076508 1350912 1435344 1913792 2026368 2153016 2870688 3827584 4052736 4306032 5741376 7655168 8612064 11482752 17224128 22965504 34448256 68896512