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10264640 = 26532077
BaseRepresentation
bin100111001010…
…000001000000
3201022111102212
4213022001000
510111432030
61004001252
7153151031
oct47120100
921274385
1010264640
115880a81
123530228
132185169
141512a88
15d7b595
hex9ca040

10264640 has 28 divisors (see below), whose sum is σ = 24443436. Its totient is φ = 4105728.

The previous prime is 10264633. The next prime is 10264663. The reversal of 10264640 is 4646201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 2334784 = 2816^2 + 1528^2 .

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, 15719 + ... + 16358.

Almost surely, 210264640 is an apocalyptic number.

10264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10264640 is an abundant number, since it is smaller than the sum of its proper divisors (14178796).

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

10264640 is an equidigital number, since it uses as much as digits as its factorization.

10264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32094 (or 32084 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10264640 is about 3203.8476867666. The cubic root of 10264640 is about 217.3274449415.

The spelling of 10264640 in words is "ten million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 32077 64154 128308 160385 256616 320770 513232 641540 1026464 1283080 2052928 2566160 5132320 10264640