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104131600 = 2452260329
BaseRepresentation
bin1100011010011…
…10110000010000
321020221102200221
412031032300100
5203124202400
614155522424
72403050446
oct615166020
9236842627
10104131600
1153863681
122aa59414
131875c241
14db88b96
15921dc1a
hex634ec10

104131600 has 30 divisors (see below), whose sum is σ = 250177130. Its totient is φ = 41652480.

The previous prime is 104131597. The next prime is 104131619. The reversal of 104131600 is 6131401.

It can be written as a sum of positive squares in 3 ways, for example, as 8952064 + 95179536 = 2992^2 + 9756^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 129765 + ... + 130564.

Almost surely, 2104131600 is an apocalyptic number.

104131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104131600 is an abundant number, since it is smaller than the sum of its proper divisors (146045530).

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

104131600 is a wasteful number, since it uses less digits than its factorization.

104131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260347 (or 260336 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 104131600 is about 10204.4892081868. The cubic root of 104131600 is about 470.4652101199.

The spelling of 104131600 in words is "one hundred four million, one hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 260329 520658 1041316 1301645 2082632 2603290 4165264 5206580 6508225 10413160 13016450 20826320 26032900 52065800 104131600