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90961704 = 23381733
BaseRepresentation
bin1010110101111…
…11011100101000
320100011100000000
411122333130220
5141241233304
613005343000
72153106321
oct532773450
9210140000
1090961704
1147388969
1226567a60
1315aca8c2
14c11b448
157ebb939
hex56bf728

90961704 has 72 divisors (see below), whose sum is σ = 255964410. Its totient is φ = 30303072.

The previous prime is 90961697. The next prime is 90961709. The reversal of 90961704 is 40716909.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 11573604 = 8910^2 + 3402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90961709) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51622 + ... + 53354.

Almost surely, 290961704 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 90961704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982205).

90961704 is an abundant number, since it is smaller than the sum of its proper divisors (165002706).

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

90961704 is an equidigital number, since it uses as much as digits as its factorization.

90961704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90961704 is about 9537.3845471387. The cubic root of 90961704 is about 449.7310392768.

The spelling of 90961704 in words is "ninety million, nine hundred sixty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1733 1944 2187 2916 3466 4374 5199 5832 6561 6932 8748 10398 13122 13864 15597 17496 20796 26244 31194 41592 46791 52488 62388 93582 124776 140373 187164 280746 374328 421119 561492 842238 1122984 1263357 1684476 2526714 3368952 3790071 5053428 7580142 10106856 11370213 15160284 22740426 30320568 45480852 90961704