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90105344 = 29731811
BaseRepresentation
bin1010101111011…
…10011000000000
320021112211021222
411113232120000
5141031332334
612535134212
72142611540
oct527563000
9207484258
1090105344
114695352a
1226214368
131588ab94
14bd77320
157d9cd2e
hex55ee600

90105344 has 80 divisors (see below), whose sum is σ = 212653056. Its totient is φ = 37324800.

The previous prime is 90105307. The next prime is 90105347. The reversal of 90105344 is 44350109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110699 + ... + 111509.

Almost surely, 290105344 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 90105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106326528).

90105344 is an abundant number, since it is smaller than the sum of its proper divisors (122547712).

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

90105344 is an equidigital number, since it uses as much as digits as its factorization.

90105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 90105344 is about 9492.3834730799. The cubic root of 90105344 is about 448.3152542963.

The spelling of 90105344 in words is "ninety million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 811 868 896 992 1622 1736 1792 1984 3244 3472 3584 3968 5677 6488 6944 7936 11354 12976 13888 15872 22708 25141 25952 27776 45416 50282 51904 55552 90832 100564 103808 111104 175987 181664 201128 207616 351974 363328 402256 415232 703948 726656 804512 1407896 1453312 1609024 2815792 2906624 3218048 5631584 6436096 11263168 12872192 22526336 45052672 90105344