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90795380 = 225131372549
BaseRepresentation
bin1010110100101…
…10110101110100
320022211212211212
411122112311310
5141220423010
613002020552
72151514364
oct532266564
9208755755
1090795380
1147284a05
12264a7758
1315a6cca0
14c0b69a4
157e87505
hex5696d74

90795380 has 48 divisors (see below), whose sum is σ = 206917200. Its totient is φ = 33266688.

The previous prime is 90795379. The next prime is 90795391. The reversal of 90795380 is 8359709.

It can be written as a sum of positive squares in 8 ways, for example, as 88804 + 90706576 = 298^2 + 9524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34346 + ... + 36894.

It is an arithmetic number, because the mean of its divisors is an integer number (4310775).

Almost surely, 290795380 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 90795380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103458600).

90795380 is an abundant number, since it is smaller than the sum of its proper divisors (116121820).

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

90795380 is a wasteful number, since it uses less digits than its factorization.

90795380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 90795380 is about 9528.6609762338. The cubic root of 90795380 is about 449.4567601027.

The spelling of 90795380 in words is "ninety million, seven hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2549 2740 3562 5098 7124 8905 10196 12745 17810 25490 33137 35620 50980 66274 132548 165685 331370 349213 662740 698426 1396852 1746065 3492130 4539769 6984260 9079538 18159076 22698845 45397690 90795380