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90960096 = 253947501
BaseRepresentation
bin1010110101111…
…11000011100000
320100011020210110
411122333003200
5141241210341
613005331320
72153101533
oct532770340
9210136713
1090960096
1147387737
1226566b40
1315ac9c56
14c11aa1a
157ebb216
hex56bf0e0

90960096 has 24 divisors (see below), whose sum is σ = 238770504. Its totient is φ = 30320000.

The previous prime is 90960073. The next prime is 90960119. The reversal of 90960096 is 69006909.

It is an interprime number because it is at equal distance from previous prime (90960073) and next prime (90960119).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473655 + ... + 473846.

It is an arithmetic number, because the mean of its divisors is an integer number (9948771).

Almost surely, 290960096 is an apocalyptic number.

90960096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90960096 is an abundant number, since it is smaller than the sum of its proper divisors (147810408).

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

90960096 is a wasteful number, since it uses less digits than its factorization.

90960096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947514 (or 947506 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90960096 is about 9537.3002469252. The cubic root of 90960096 is about 449.7283891807.

The spelling of 90960096 in words is "ninety million, nine hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 947501 1895002 2842503 3790004 5685006 7580008 11370012 15160016 22740024 30320032 45480048 90960096