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104813604 = 223273113417
BaseRepresentation
bin1100011111101…
…01010000100100
321022020002020100
412033311100210
5203313013404
614222304100
72411621010
oct617652044
9238202210
10104813604
115418a015
122b128030
131893a7ac
14dcc5540
159305d39
hex63f5424

104813604 has 72 divisors (see below), whose sum is σ = 312585728. Its totient is φ = 28978560.

The previous prime is 104813591. The next prime is 104813651. The reversal of 104813604 is 406318401.

104813604 is a `hidden beast` number, since 1 + 0 + 48 + 13 + 604 = 666.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104 + ... + 14520.

Almost surely, 2104813604 is an apocalyptic number.

104813604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104813604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156292864).

104813604 is an abundant number, since it is smaller than the sum of its proper divisors (207772124).

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

104813604 is a wasteful number, since it uses less digits than its factorization.

104813604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13465 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104813604 is about 10237.8515324261. The cubic root of 104813604 is about 471.4900710008.

The spelling of 104813604 in words is "one hundred four million, eight hundred thirteen thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 13417 26834 40251 53668 80502 93919 120753 161004 187838 241506 281757 375676 415927 483012 563514 831854 845271 1127028 1247781 1663708 1690542 2495562 2911489 3381084 3743343 4991124 5822978 7486686 8734467 11645956 14973372 17468934 26203401 34937868 52406802 104813604