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103662016 = 263152249
BaseRepresentation
bin1100010110111…
…00000111000000
321020001120112221
412023130013000
5203014141031
614141500424
72366053423
oct613340700
9236046487
10103662016
1153572897
122a871714
1318626593
14daa59ba
159179a11
hex62dc1c0

103662016 has 28 divisors (see below), whose sum is σ = 212344000. Its totient is φ = 50158080.

The previous prime is 103662007. The next prime is 103662017. The reversal of 103662016 is 610266301.

It is a super-2 number, since 2×1036620162 = 21491627122368512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103662017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24141 + ... + 28108.

Almost surely, 2103662016 is an apocalyptic number.

103662016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103662016 is an abundant number, since it is smaller than the sum of its proper divisors (108681984).

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

103662016 is an equidigital number, since it uses as much as digits as its factorization.

103662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52292 (or 52282 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 103662016 is about 10181.4545129859. The cubic root of 103662016 is about 469.7569529546.

It can be divided in two parts, 1036620 and 16, that multiplied together give a triangular number (16585920 = T5759).

The spelling of 103662016 in words is "one hundred three million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 52249 104498 208996 417992 835984 1619719 1671968 3239438 3343936 6478876 12957752 25915504 51831008 103662016