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90717032 = 23721713613
BaseRepresentation
bin1010110100000…
…11101101101000
320022200220101002
411122003231220
5141210421112
613000214132
72151040100
oct532035550
9208626332
1090717032
114723105a
122646a348
1315a43423
14c096200
157e6e1c2
hex5683b68

90717032 has 48 divisors (see below), whose sum is σ = 209519460. Its totient is φ = 36589056.

The previous prime is 90717031. The next prime is 90717047. The reversal of 90717032 is 23071709.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85636516 + 5080516 = 9254^2 + 2254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90716986 and 90717004.

It is not an unprimeable number, because it can be changed into a prime (90717031) 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 11 ways as a sum of consecutive naturals, for example, 143 + ... + 13470.

Almost surely, 290717032 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 90717032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104759730).

90717032 is an abundant number, since it is smaller than the sum of its proper divisors (118802428).

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

90717032 is a wasteful number, since it uses less digits than its factorization.

90717032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13650 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 90717032 is about 9524.5489132032. The cubic root of 90717032 is about 449.3274430533.

The spelling of 90717032 in words is "ninety million, seven hundred seventeen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 13613 27226 54452 95291 108904 190582 231421 381164 462842 667037 762328 925684 1334074 1619947 1851368 2668148 3239894 5336296 6479788 11339629 12959576 22679258 45358516 90717032