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90375153 = 31119144139
BaseRepresentation
bin1010110001100…
…00001111110001
320022001112101220
411120300033301
5141114001103
612545015253
72145114261
oct530601761
9208045356
1090375153
1147018210
1226324529
131595392b
14c0077a1
157e02c53
hex56303f1

90375153 has 16 divisors (see below), whose sum is σ = 138374400. Its totient is φ = 51889680.

The previous prime is 90375149. The next prime is 90375157. The reversal of 90375153 is 35157309.

It is an interprime number because it is at equal distance from previous prime (90375149) and next prime (90375157).

It is not a de Polignac number, because 90375153 - 22 = 90375149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (90375157) by changing a digit.

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, 71443 + ... + 72696.

It is an arithmetic number, because the mean of its divisors is an integer number (8648400).

Almost surely, 290375153 is an apocalyptic number.

It is an amenable number.

90375153 is a deficient number, since it is larger than the sum of its proper divisors (47999247).

90375153 is a wasteful number, since it uses less digits than its factorization.

90375153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144172.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 90375153 is about 9506.5847179731. The cubic root of 90375153 is about 448.7622827518.

The spelling of 90375153 in words is "ninety million, three hundred seventy-five thousand, one hundred fifty-three".

Divisors: 1 3 11 19 33 57 209 627 144139 432417 1585529 2738641 4756587 8215923 30125051 90375153