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90136128 = 2631513109
BaseRepresentation
bin1010101111101…
…01111001000000
320021121101112010
411113311321000
5141033324003
612535532520
72143100355
oct527657100
9207541463
1090136128
1146974675
122622a140
131589bbb4
14bd8462c
157da7003
hex55f5e40

90136128 has 56 divisors (see below), whose sum is σ = 240141760. Its totient is φ = 29836800.

The previous prime is 90136117. The next prime is 90136139. The reversal of 90136128 is 82163109.

It is an interprime number because it is at equal distance from previous prime (90136117) and next prime (90136139).

It is a junction number, because it is equal to n+sod(n) for n = 90136095 and 90136104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27438 + ... + 30546.

Almost surely, 290136128 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 90136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120070880).

90136128 is an abundant number, since it is smaller than the sum of its proper divisors (150005632).

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

90136128 is a wasteful number, since it uses less digits than its factorization.

90136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90136128 is about 9494.0048451641. The cubic root of 90136128 is about 448.3663033048.

The spelling of 90136128 in words is "ninety million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3109 3624 4832 6218 7248 9327 9664 12436 14496 18654 24872 28992 37308 49744 74616 99488 149232 198976 298464 469459 596928 938918 1408377 1877836 2816754 3755672 5633508 7511344 11267016 15022688 22534032 30045376 45068064 90136128