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90123642 = 23272102181
BaseRepresentation
bin1010101111100…
…10110101111010
320021120202101200
411113302311322
5141032424032
612535355030
72143016100
oct527626572
9207522350
1090123642
1146966254
1226222a76
13158962cb
14bd7dc70
157da347c
hex55f2d7a

90123642 has 36 divisors (see below), whose sum is σ = 227150586. Its totient is φ = 25749360.

The previous prime is 90123629. The next prime is 90123653. The reversal of 90123642 is 24632109.

90123642 is a `hidden beast` number, since 9 + 0 + 12 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89699841 + 423801 = 9471^2 + 651^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50209 + ... + 51972.

Almost surely, 290123642 is an apocalyptic number.

90123642 is an abundant number, since it is smaller than the sum of its proper divisors (137026944).

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

90123642 is a wasteful number, since it uses less digits than its factorization.

90123642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102203 (or 102193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90123642 is about 9493.3472495216. The cubic root of 90123642 is about 448.3455992124.

The spelling of 90123642 in words is "ninety million, one hundred twenty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 102181 204362 306543 613086 715267 919629 1430534 1839258 2145801 4291602 5006869 6437403 10013738 12874806 15020607 30041214 45061821 90123642