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104048960 = 265325153
BaseRepresentation
bin1100011001110…
…10100101000000
321020210020100012
412030322211000
5203114031320
614154044052
72402254511
oct614724500
9236706305
10104048960
1153807584
122aa19628
1318730742
14db66a08
1592044c5
hex633a940

104048960 has 28 divisors (see below), whose sum is σ = 247767348. Its totient is φ = 41619456.

The previous prime is 104048909. The next prime is 104048999. The reversal of 104048960 is 69840401.

It can be written as a sum of positive squares in 2 ways, for example, as 59105344 + 44943616 = 7688^2 + 6704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 162257 + ... + 162896.

Almost surely, 2104048960 is an apocalyptic number.

104048960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104048960 is an abundant number, since it is smaller than the sum of its proper divisors (143718388).

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

104048960 is an equidigital number, since it uses as much as digits as its factorization.

104048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325170 (or 325160 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 104048960 is about 10200.4392062303. The cubic root of 104048960 is about 470.3407217017.

The spelling of 104048960 in words is "one hundred four million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 325153 650306 1300612 1625765 2601224 3251530 5202448 6503060 10404896 13006120 20809792 26012240 52024480 104048960