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100904004 = 22326145949
BaseRepresentation
bin1100000001110…
…10110001000100
321000212110021100
412000322301010
5201312412004
614002420100
72333445525
oct600726104
9230773240
10100904004
1151a59743
1229961630
1317b9c116
14d58884c
158cd2739
hex603ac44

100904004 has 36 divisors (see below), whose sum is σ = 259249900. Its totient is φ = 33082560.

The previous prime is 100903973. The next prime is 100904033. The reversal of 100904004 is 400409001.

It can be written as a sum of positive squares in 2 ways, for example, as 39312900 + 61591104 = 6270^2 + 7848^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20779 + ... + 25170.

Almost surely, 2100904004 is an apocalyptic number.

It is an amenable number.

100904004 is an abundant number, since it is smaller than the sum of its proper divisors (158345896).

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

100904004 is a wasteful number, since it uses less digits than its factorization.

100904004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46020 (or 46015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100904004 is about 10045.0985062368. The cubic root of 100904004 is about 465.5533613432.

The spelling of 100904004 in words is "one hundred million, nine hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 45949 91898 137847 183796 275694 413541 551388 827082 1654164 2802889 5605778 8408667 11211556 16817334 25226001 33634668 50452002 100904004