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268552690 = 25731123757
BaseRepresentation
bin10000000000011…
…100100111110010
3200201022220000221
4100000130213302
51022222141230
642352003254
76440442310
oct2000344762
9621286027
10268552690
1112865567a
1275b3052a
134383a123
14279490b0
151889b27a
hex1001c9f2

268552690 has 32 divisors (see below), whose sum is σ = 570276864. Its totient is φ = 89104320.

The previous prime is 268552667. The next prime is 268552693. The reversal of 268552690 is 96255862.

It is a super-2 number, since 2×2685526902 = 144241094612472200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (268552693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59709 + ... + 64048.

It is an arithmetic number, because the mean of its divisors is an integer number (17821152).

Almost surely, 2268552690 is an apocalyptic number.

268552690 is an abundant number, since it is smaller than the sum of its proper divisors (301724174).

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

268552690 is a wasteful number, since it uses less digits than its factorization.

268552690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123802.

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 268552690 is about 16387.5773072166. The cubic root of 268552690 is about 645.1734725600.

The spelling of 268552690 in words is "two hundred sixty-eight million, five hundred fifty-two thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 123757 247514 618785 866299 1237570 1732598 3836467 4331495 7672934 8662990 19182335 26855269 38364670 53710538 134276345 268552690