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268901760 = 2735140053
BaseRepresentation
bin10000000001110…
…001110110000000
3200201222121212110
4100001301312000
51022314324020
642403255320
76443425101
oct2001616600
9621877773
10268901760
11128873966
127607a540
134392cc8a
14279da3a8
15189198e0
hex10071d80

268901760 has 64 divisors (see below), whose sum is σ = 857130480. Its totient is φ = 71706624.

The previous prime is 268901741. The next prime is 268901771. The reversal of 268901760 is 67109862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68107 + ... + 71946.

Almost surely, 2268901760 is an apocalyptic number.

268901760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268901760 is an abundant number, since it is smaller than the sum of its proper divisors (588228720).

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

268901760 is a wasteful number, since it uses less digits than its factorization.

268901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140075 (or 140063 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 268901760 is about 16398.2242941118. The cubic root of 268901760 is about 645.4528878667.

The spelling of 268901760 in words is "two hundred sixty-eight million, nine hundred one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 140053 280106 420159 560212 700265 840318 1120424 1400530 1680636 2100795 2240848 2801060 3361272 4201590 4481696 5602120 6722544 8403180 8963392 11204240 13445088 16806360 17926784 22408480 26890176 33612720 44816960 53780352 67225440 89633920 134450880 268901760