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90099504 = 24321125171
BaseRepresentation
bin1010101111011…
…00111100110000
320021112112021200
411113230330300
5141031141004
612535051200
72142555525
oct527547460
9207475250
1090099504
114694a100
1226210b00
1315888321
14bd7514c
157d9b239
hex55ecf30

90099504 has 90 divisors (see below), whose sum is σ = 277214028. Its totient is φ = 27297600.

The previous prime is 90099481. The next prime is 90099511. The reversal of 90099504 is 40599009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14839 + ... + 20009.

Almost surely, 290099504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90099504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138607014).

90099504 is an abundant number, since it is smaller than the sum of its proper divisors (187114524).

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

90099504 is a wasteful number, since it uses less digits than its factorization.

90099504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 90099504 is about 9492.0758530471. The cubic root of 90099504 is about 448.3055685310.

The spelling of 90099504 in words is "ninety million, ninety-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5171 5808 8712 10342 15513 17424 20684 31026 41368 46539 56881 62052 82736 93078 113762 124104 170643 186156 227524 248208 341286 372312 455048 511929 625691 682572 744624 910096 1023858 1251382 1365144 1877073 2047716 2502764 2730288 3754146 4095432 5005528 5631219 7508292 8190864 10011056 11262438 15016584 22524876 30033168 45049752 90099504