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268658964 = 22337250767
BaseRepresentation
bin10000000000110…
…110100100010100
3200201112021211000
4100000312210110
51022234041324
642354143300
76441364200
oct2000664424
9621467730
10268658964
11128718502
1275b81b30
1343876602
1427975b00
15188bc9c9
hex10036914

268658964 has 72 divisors (see below), whose sum is σ = 810257280. Its totient is φ = 76758192.

The previous prime is 268658963. The next prime is 268659023. The reversal of 268658964 is 469856862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 268658964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268658963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20092 + ... + 30675.

Almost surely, 2268658964 is an apocalyptic number.

It is an amenable number.

268658964 is an abundant number, since it is smaller than the sum of its proper divisors (541598316).

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

268658964 is a wasteful number, since it uses less digits than its factorization.

268658964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50794 (or 50779 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 268658964 is about 16390.8195036124. The cubic root of 268658964 is about 645.2585658841.

The spelling of 268658964 in words is "two hundred sixty-eight million, six hundred fifty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 50767 101534 152301 203068 304602 355369 456903 609204 710738 913806 1066107 1370709 1421476 1827612 2132214 2487583 2741418 3198321 4264428 4975166 5482836 6396642 7462749 9594963 9950332 12793284 14925498 19189926 22388247 29850996 38379852 44776494 67164741 89552988 134329482 268658964