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90123267 = 3135359739
BaseRepresentation
bin1010101111100…
…10110000000011
320021120201212210
411113302300003
5141032421032
612535353203
72143015023
oct527626003
9207521783
1090123267
1146965a43
1226222803
13158960a0
14bd7da83
157da32cc
hex55f2c03

90123267 has 32 divisors (see below), whose sum is σ = 134265600. Its totient is φ = 53419392.

The previous prime is 90123259. The next prime is 90123277. The reversal of 90123267 is 76232109.

It is not a de Polignac number, because 90123267 - 23 = 90123259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90123247) 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 31 ways as a sum of consecutive naturals, for example, 121584 + ... + 122322.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 290123267 is an apocalyptic number.

90123267 is a deficient number, since it is larger than the sum of its proper divisors (44142333).

90123267 is a wasteful number, since it uses less digits than its factorization.

90123267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 90123267 is about 9493.3274988278. The cubic root of 90123267 is about 448.3449773636.

The spelling of 90123267 in words is "ninety million, one hundred twenty-three thousand, two hundred sixty-seven".

Divisors: 1 3 13 39 53 59 159 177 689 739 767 2067 2217 2301 3127 9381 9607 28821 39167 40651 43601 117501 121953 130803 509171 566813 1527513 1700439 2310853 6932559 30041089 90123267