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268963068 = 223113165729
BaseRepresentation
bin10000000010000…
…000110011111100
3200202002201222010
4100002000303330
51022323304233
642404451220
76444101613
oct2002006374
9622081863
10268963068
11128905a30
12760a9b10
1343951b5a
1427a1487a
151892cb63
hex10080cfc

268963068 has 48 divisors (see below), whose sum is σ = 706728960. Its totient is φ = 78873600.

The previous prime is 268963061. The next prime is 268963087. The reversal of 268963068 is 860369862.

268963068 = T57 + T58 + ... + T1172.

It is a super-2 number, since 2×2689630682 = 144682263895945248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268963061) 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, 28773 + ... + 36956.

It is an arithmetic number, because the mean of its divisors is an integer number (14723520).

Almost surely, 2268963068 is an apocalyptic number.

It is an amenable number.

268963068 is an abundant number, since it is smaller than the sum of its proper divisors (437765892).

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

268963068 is a wasteful number, since it uses less digits than its factorization.

268963068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65778 (or 65776 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 268963068 is about 16400.0935363186. The cubic root of 268963068 is about 645.5019372775.

The spelling of 268963068 in words is "two hundred sixty-eight million, nine hundred sixty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 65729 131458 197187 262916 394374 723019 788748 1446038 2037599 2169057 2892076 4075198 4338114 6112797 8150396 8676228 12225594 22413589 24451188 44827178 67240767 89654356 134481534 268963068