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103685696 = 267322193
BaseRepresentation
bin1100010111000…
…01111001000000
321020002210000222
412023201321000
5203020420241
614142202212
72366212442
oct613417100
9236083028
10103685696
1153589664
122a883368
13186342aa
14dab0492
159181a4b
hex62e1e40

103685696 has 28 divisors (see below), whose sum is σ = 208579212. Its totient is φ = 51130368.

The previous prime is 103685693. The next prime is 103685707. The reversal of 103685696 is 696586301.

It can be written as a sum of positive squares in 2 ways, for example, as 82156096 + 21529600 = 9064^2 + 4640^2 .

It is not an unprimeable number, because it can be changed into a prime (103685693) 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, 6425 + ... + 15768.

Almost surely, 2103685696 is an apocalyptic number.

103685696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103685696 is an abundant number, since it is smaller than the sum of its proper divisors (104893516).

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

103685696 is an equidigital number, since it uses as much as digits as its factorization.

103685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22278 (or 22268 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 103685696 is about 10182.6173452605. The cubic root of 103685696 is about 469.7927198252.

The spelling of 103685696 in words is "one hundred three million, six hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 22193 44386 88772 177544 355088 710176 1420352 1620089 3240178 6480356 12960712 25921424 51842848 103685696