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68295136 = 2571347499
BaseRepresentation
bin1000001001000…
…01100111100000
311202111202022111
410010201213200
5114440421021
610435445104
71456333120
oct404414740
9152452274
1068295136
1135607168
121aa56794
13111c2830
1490dac80
155ee08e1
hex41219e0

68295136 has 96 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 26390016.

The previous prime is 68295133. The next prime is 68295167. The reversal of 68295136 is 63159286.

Its product of digits (77760) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68295133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136615 + ... + 137113.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 268295136 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 68295136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

68295136 is an abundant number, since it is smaller than the sum of its proper divisors (101048864).

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

68295136 is a wasteful number, since it uses less digits than its factorization.

68295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 68295136 is about 8264.0871244197. The cubic root of 68295136 is about 408.7551693773.

The spelling of 68295136 in words is "sixty-eight million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 91 94 104 112 182 188 208 224 329 364 376 416 499 611 658 728 752 998 1222 1316 1456 1504 1996 2444 2632 2912 3493 3992 4277 4888 5264 6487 6986 7984 8554 9776 10528 12974 13972 15968 17108 19552 23453 25948 27944 34216 45409 46906 51896 55888 68432 90818 93812 103792 111776 136864 164171 181636 187624 207584 304889 328342 363272 375248 609778 656684 726544 750496 1219556 1313368 1453088 2134223 2439112 2626736 4268446 4878224 5253472 8536892 9756448 17073784 34147568 68295136