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90112932 = 223371353173
BaseRepresentation
bin1010101111100…
…00001110100100
320021120012201000
411113300032210
5141032103212
612535233300
72142642630
oct527601644
9207505630
1090112932
11469591a8
1226218830
1315891480
14bd79dc0
157da01dc
hex55f03a4

90112932 has 192 divisors, whose sum is σ = 294658560. Its totient is φ = 23182848.

The previous prime is 90112927. The next prime is 90112933. The reversal of 90112932 is 23921109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90112896 and 90112905.

It is not an unprimeable number, because it can be changed into a prime (90112933) 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 63 ways as a sum of consecutive naturals, for example, 520798 + ... + 520970.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 290112932 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 90112932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

90112932 is an abundant number, since it is smaller than the sum of its proper divisors (204545628).

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

90112932 is a wasteful number, since it uses less digits than its factorization.

90112932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90112932 is about 9492.7831535330. The cubic root of 90112932 is about 448.3278385320.

The spelling of 90112932 in words is "ninety million, one hundred twelve thousand, nine hundred thirty-two".