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90104004 = 223219131731
BaseRepresentation
bin1010101111011…
…10000011000100
320021112202110100
411113232003010
5141031312004
612535124100
72142604614
oct527560304
9207482410
1090104004
1146952521
1226213630
131588a3a3
14bd76a44
157d9c739
hex55ee0c4

90104004 has 36 divisors (see below), whose sum is σ = 239752240. Its totient is φ = 28453680.

The previous prime is 90103999. The next prime is 90104017. The reversal of 90104004 is 40040109.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65182 + ... + 66549.

Almost surely, 290104004 is an apocalyptic number.

It is an amenable number.

90104004 is an abundant number, since it is smaller than the sum of its proper divisors (149648236).

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

90104004 is a wasteful number, since it uses less digits than its factorization.

90104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131760 (or 131755 counting only the distinct ones).

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

The square root of 90104004 is about 9492.3128899126. The cubic root of 90104004 is about 448.3130319146.

The spelling of 90104004 in words is "ninety million, one hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 131731 263462 395193 526924 790386 1185579 1580772 2371158 2502889 4742316 5005778 7508667 10011556 15017334 22526001 30034668 45052002 90104004