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90107680 = 2551343321
BaseRepresentation
bin1010101111011…
…10111100100000
320021112221111111
411113232330200
5141031421210
612535153104
72142621415
oct527567440
9207487444
1090107680
1146955263
1226215794
131588bc70
14bd7810c
157d9d88a
hex55eef20

90107680 has 48 divisors (see below), whose sum is σ = 229260024. Its totient is φ = 33269760.

The previous prime is 90107659. The next prime is 90107687. The reversal of 90107680 is 8670109.

It can be written as a sum of positive squares in 4 ways, for example, as 73753744 + 16353936 = 8588^2 + 4044^2 .

It is not an unprimeable number, because it can be changed into a prime (90107687) 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, 19581 + ... + 23740.

Almost surely, 290107680 is an apocalyptic number.

It is an amenable number.

90107680 is an abundant number, since it is smaller than the sum of its proper divisors (139152344).

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

90107680 is a wasteful number, since it uses less digits than its factorization.

90107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43349 (or 43341 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 90107680 is about 9492.5065183017. The cubic root of 90107680 is about 448.3191284853.

Adding to 90107680 its reverse (8670109), we get a palindrome (98777789).

The spelling of 90107680 in words is "ninety million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 43321 86642 173284 216605 346568 433210 563173 693136 866420 1126346 1386272 1732840 2252692 2815865 3465680 4505384 5631730 6931360 9010768 11263460 18021536 22526920 45053840 90107680