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90059136 = 273234529
BaseRepresentation
bin1010101111000…
…11000110000000
320021110110220120
411113203012000
5141023343021
612534140240
72142330036
oct527430600
9207413816
1090059136
1146921842
12261b1680
1315872b3b
14bd64556
157d8e2c6
hex55e3180

90059136 has 32 divisors (see below), whose sum is σ = 239220600. Its totient is φ = 30019584.

The previous prime is 90059113. The next prime is 90059143. The reversal of 90059136 is 63195009.

90059136 = 4612 + 4622 + ... + 7162.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×900591362 = 16221295954132992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90059097 and 90059106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116881 + ... + 117648.

Almost surely, 290059136 is an apocalyptic number.

90059136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90059136 is an abundant number, since it is smaller than the sum of its proper divisors (149161464).

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

90059136 is a wasteful number, since it uses less digits than its factorization.

90059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234546 (or 234534 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 90059136 is about 9489.9492095585. The cubic root of 90059136 is about 448.2386058886.

The spelling of 90059136 in words is "ninety million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 234529 469058 703587 938116 1407174 1876232 2814348 3752464 5628696 7504928 11257392 15009856 22514784 30019712 45029568 90059136