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10259616 = 253106871
BaseRepresentation
bin100111001000…
…110010100000
3201022020112210
4213020302200
510111301431
61003522120
7153130263
oct47106240
921266483
1010259616
115878224
123529340
132182aa3
141510cda
15d79d46
hex9c8ca0

10259616 has 24 divisors (see below), whose sum is σ = 26931744. Its totient is φ = 3419840.

The previous prime is 10259597. The next prime is 10259647. The reversal of 10259616 is 61695201.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53340 + ... + 53531.

It is an arithmetic number, because the mean of its divisors is an integer number (1122156).

Almost surely, 210259616 is an apocalyptic number.

10259616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10259616 is an abundant number, since it is smaller than the sum of its proper divisors (16672128).

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

10259616 is a wasteful number, since it uses less digits than its factorization.

10259616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106884 (or 106876 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 10259616 is about 3203.0635335566. The cubic root of 10259616 is about 217.2919823805.

The spelling of 10259616 in words is "ten million, two hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106871 213742 320613 427484 641226 854968 1282452 1709936 2564904 3419872 5129808 10259616