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90132804 = 22331018263
BaseRepresentation
bin1010101111101…
…01000101000100
320021121012222000
411113311011010
5141033222204
612535505300
72143054566
oct527650504
9207535860
1090132804
1146972123
1226228230
131589a528
14bd83336
157da6039
hex55f5144

90132804 has 48 divisors (see below), whose sum is σ = 236019840. Its totient is φ = 29743200.

The previous prime is 90132799. The next prime is 90132821. The reversal of 90132804 is 40823109.

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

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 15 ways as a sum of consecutive naturals, for example, 6777 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (4917080).

Almost surely, 290132804 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 90132804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118009920).

90132804 is an abundant number, since it is smaller than the sum of its proper divisors (145887036).

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

90132804 is a wasteful number, since it uses less digits than its factorization.

90132804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90132804 is about 9493.8297857082. The cubic root of 90132804 is about 448.3607916861.

The spelling of 90132804 in words is "ninety million, one hundred thirty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 8263 10908 16526 24789 33052 49578 74367 99156 148734 223101 297468 446202 834563 892404 1669126 2503689 3338252 5007378 7511067 10014756 15022134 22533201 30044268 45066402 90132804