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90000096 = 253937501
BaseRepresentation
bin1010101110101…
…00101011100000
320021100110220220
411113110223200
5141020000341
612533003040
72141662644
oct527245340
9207313826
1090000096
114689144a
1226183480
1315851cc4
14bd4ac24
157d7ba66
hex55d4ae0

90000096 has 24 divisors (see below), whose sum is σ = 236250504. Its totient is φ = 30000000.

The previous prime is 90000089. The next prime is 90000103. The reversal of 90000096 is 69000009.

It is an interprime number because it is at equal distance from previous prime (90000089) and next prime (90000103).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 468655 + ... + 468846.

It is an arithmetic number, because the mean of its divisors is an integer number (9843771).

Almost surely, 290000096 is an apocalyptic number.

90000096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90000096 is an abundant number, since it is smaller than the sum of its proper divisors (146250408).

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

90000096 is a wasteful number, since it uses less digits than its factorization.

90000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937514 (or 937506 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 90000096 is about 9486.8380401480. The cubic root of 90000096 is about 448.1406339945.

The spelling of 90000096 in words is "ninety million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 937501 1875002 2812503 3750004 5625006 7500008 11250012 15000016 22500024 30000032 45000048 90000096