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10715680 = 25566973
BaseRepresentation
bin101000111000…
…001000100000
3202011102011001
4220320020200
510220400210
61021401344
7160040023
oct50701040
922142131
1010715680
116059938
123709254
1322b2551
1415cd1ba
15e1a03a
hexa38220

10715680 has 24 divisors (see below), whose sum is σ = 25316172. Its totient is φ = 4286208.

The previous prime is 10715659. The next prime is 10715693. The reversal of 10715680 is 8651701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10214416 + 501264 = 3196^2 + 708^2 .

It is a super-2 number, since 2×107156802 = 229651595724800, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33327 + ... + 33646.

Almost surely, 210715680 is an apocalyptic number.

10715680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10715680 is an abundant number, since it is smaller than the sum of its proper divisors (14600492).

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

10715680 is an equidigital number, since it uses as much as digits as its factorization.

10715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66988 (or 66980 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 10715680 is about 3273.4813272722. The cubic root of 10715680 is about 220.4651316121.

The spelling of 10715680 in words is "ten million, seven hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 66973 133946 267892 334865 535784 669730 1071568 1339460 2143136 2678920 5357840 10715680