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90013275 = 365211449
BaseRepresentation
bin1010101110101…
…11111001011011
320021101011000000
411113113321123
5141020411100
612533144043
72142046242
oct527277133
9207334000
1090013275
11468a0340
122618b023
1315857cc1
14bd51959
157d80900
hex55d7e5b

90013275 has 84 divisors (see below), whose sum is σ = 182968200. Its totient is φ = 43545600.

The previous prime is 90013229. The next prime is 90013309. The reversal of 90013275 is 57231009.

It is not a de Polignac number, because 90013275 - 29 = 90012763 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 200251 + ... + 200699.

Almost surely, 290013275 is an apocalyptic number.

90013275 is an abundant number, since it is smaller than the sum of its proper divisors (92954925).

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

90013275 is a wasteful number, since it uses less digits than its factorization.

90013275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90013275 is about 9487.5326086396. The cubic root of 90013275 is about 448.1625071458.

The spelling of 90013275 in words is "ninety million, thirteen thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 243 275 297 405 449 495 675 729 825 891 1215 1347 1485 2025 2245 2475 2673 3645 4041 4455 4939 6075 6735 7425 8019 11225 12123 13365 14817 18225 20205 22275 24695 33675 36369 40095 44451 60615 66825 74085 101025 109107 123475 133353 181845 200475 222255 303075 327321 370425 400059 545535 666765 909225 1111275 1200177 1636605 2000295 2727675 3333825 3600531 6000885 8183025 10001475 18002655 30004425 90013275