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268700608 = 2611616257
BaseRepresentation
bin10000000001000…
…000101111000000
3200201121101221101
4100001000233000
51022241404413
642355104144
76441626461
oct2001005700
9621541841
10268700608
11128746820
1275ba2054
134388c557
1427986d68
15188c9edd
hex10040bc0

268700608 has 56 divisors (see below), whose sum is σ = 591305904. Its totient is φ = 120115200.

The previous prime is 268700599. The next prime is 268700611. The reversal of 268700608 is 806007862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39816 + ... + 46072.

It is an arithmetic number, because the mean of its divisors is an integer number (10559034).

Almost surely, 2268700608 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 268700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295652952).

268700608 is an abundant number, since it is smaller than the sum of its proper divisors (322605296).

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

268700608 is a wasteful number, since it uses less digits than its factorization.

268700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 268700608 is about 16392.0897996564. The cubic root of 268700608 is about 645.2919040104.

The spelling of 268700608 in words is "two hundred sixty-eight million, seven hundred thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1952 2684 3904 5368 6257 10736 12514 21472 25028 42944 50056 68827 100112 137654 200224 275308 381677 400448 550616 763354 1101232 1526708 2202464 3053416 4198447 4404928 6106832 8396894 12213664 16793788 24427328 33587576 67175152 134350304 268700608