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90090120 = 23354118311
BaseRepresentation
bin1010101111010…
…10101010001000
320021112001102010
411113222222020
5141030340440
612534535520
72142516261
oct527525210
9207461363
1090090120
114694304a
12262075a0
1315883c83
14bd71968
157d98580
hex55eaa88

90090120 has 64 divisors (see below), whose sum is σ = 276877440. Its totient is φ = 23436800.

The previous prime is 90090101. The next prime is 90090131. The reversal of 90090120 is 2109009.

It is a happy number.

It is a super-2 number, since 2×900901202 = 16232459443228800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4236 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (4326210).

Almost surely, 290090120 is an apocalyptic number.

It is an amenable number.

90090120 is an abundant number, since it is smaller than the sum of its proper divisors (186787320).

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

90090120 is a wasteful number, since it uses less digits than its factorization.

90090120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18366 (or 18362 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 90090120 is about 9491.5815331271. The cubic root of 90090120 is about 448.2900040890.

Adding to 90090120 its reverse (2109009), we get a palindrome (92199129).

The spelling of 90090120 in words is "ninety million, ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 18311 36622 54933 73244 91555 109866 146488 183110 219732 274665 366220 439464 549330 732440 750751 1098660 1501502 2197320 2252253 3003004 3753755 4504506 6006008 7507510 9009012 11261265 15015020 18018024 22522530 30030040 45045060 90090120