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23288680 = 2351930643
BaseRepresentation
bin101100011010…
…1101101101000
31121211012001201
41120311231220
521430214210
62151053544
7401644012
oct130655550
947735051
1023288680
1112167148
1279712b4
134a952ac
1431431b2
1520a053a
hex1635b68

23288680 has 32 divisors (see below), whose sum is σ = 55159200. Its totient is φ = 8824896.

The previous prime is 23288669. The next prime is 23288687. The reversal of 23288680 is 8688232.

23288680 = 1112 + 1122 + ... + 4142.

It is a super-2 number, since 2×232886802 = 1084725232284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23288687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14562 + ... + 16081.

It is an arithmetic number, because the mean of its divisors is an integer number (1723725).

Almost surely, 223288680 is an apocalyptic number.

23288680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23288680 is an abundant number, since it is smaller than the sum of its proper divisors (31870520).

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

23288680 is a wasteful number, since it uses less digits than its factorization.

23288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30673 (or 30669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 23288680 is about 4825.8346428364. The cubic root of 23288680 is about 285.5715625267.

The spelling of 23288680 in words is "twenty-three million, two hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 30643 61286 122572 153215 245144 306430 582217 612860 1164434 1225720 2328868 2911085 4657736 5822170 11644340 23288680