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268694920 = 23513516721
BaseRepresentation
bin10000000000111…
…111010110001000
3200201121010010201
4100000333112020
51022241214140
642355021544
76441604054
oct2000772610
9621533121
10268694920
1112874251a
1275b9a8b4
1343889aa0
1427984c64
15188c849a
hex1003f588

268694920 has 32 divisors (see below), whose sum is σ = 651069720. Its totient is φ = 99210240.

The previous prime is 268694893. The next prime is 268694927. The reversal of 268694920 is 29496862.

It can be written as a sum of positive squares in 4 ways, for example, as 143568324 + 125126596 = 11982^2 + 11186^2 .

It is not an unprimeable number, because it can be changed into a prime (268694927) 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 7 ways as a sum of consecutive naturals, for example, 257841 + ... + 258880.

Almost surely, 2268694920 is an apocalyptic number.

268694920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268694920 is an abundant number, since it is smaller than the sum of its proper divisors (382374800).

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

268694920 is a wasteful number, since it uses less digits than its factorization.

268694920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516745 (or 516741 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 268694920 is about 16391.9163004208. The cubic root of 268694920 is about 645.2873506821.

The spelling of 268694920 in words is "two hundred sixty-eight million, six hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 516721 1033442 2066884 2583605 4133768 5167210 6717373 10334420 13434746 20668840 26869492 33586865 53738984 67173730 134347460 268694920