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23085640 = 2352332477
BaseRepresentation
bin101100000010…
…0001001001000
31121102212112201
41120010021020
521402220030
62142445544
7400140034
oct130041110
947385481
1023085640
1112038646
1278938b4
134a23a56
1430cd1c4
1520602ca
hex1604248

23085640 has 32 divisors (see below), whose sum is σ = 52186680. Its totient is φ = 9190912.

The previous prime is 23085637. The next prime is 23085641. The reversal of 23085640 is 4658032.

It can be written as a sum of positive squares in 4 ways, for example, as 15256836 + 7828804 = 3906^2 + 2798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23085599 and 23085608.

It is not an unprimeable number, because it can be changed into a prime (23085641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 10558.

Almost surely, 223085640 is an apocalyptic number.

23085640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23085640 is an abundant number, since it is smaller than the sum of its proper divisors (29101040).

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

23085640 is a wasteful number, since it uses less digits than its factorization.

23085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 23085640 is about 4804.7518146102. The cubic root of 23085640 is about 284.7392300273.

The spelling of 23085640 in words is "twenty-three million, eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 2477 4660 4954 9320 9908 12385 19816 24770 49540 99080 577141 1154282 2308564 2885705 4617128 5771410 11542820 23085640