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90948630 = 23519379421
BaseRepresentation
bin1010110101111…
…00010000010110
320100010200001210
411122330100112
5141240324010
613005202250
72153023233
oct532742026
9210120053
1090948630
114737a063
1226560386
1315ac4976
14c11678a
157eb7b20
hex56bc416

90948630 has 64 divisors (see below), whose sum is σ = 230918400. Its totient is φ = 22861440.

The previous prime is 90948617. The next prime is 90948653. The reversal of 90948630 is 3684909.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 215820 + ... + 216240.

It is an arithmetic number, because the mean of its divisors is an integer number (3608100).

Almost surely, 290948630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90948630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115459200).

90948630 is an abundant number, since it is smaller than the sum of its proper divisors (139969770).

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

90948630 is a wasteful number, since it uses less digits than its factorization.

90948630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 90948630 is about 9536.6991144735. The cubic root of 90948630 is about 449.7094915079.

The spelling of 90948630 in words is "ninety million, nine hundred forty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 379 421 570 758 842 1137 1263 1895 2105 2274 2526 3790 4210 5685 6315 7201 7999 11370 12630 14402 15998 21603 23997 36005 39995 43206 47994 72010 79990 108015 119985 159559 216030 239970 319118 478677 797795 957354 1595590 2393385 3031621 4786770 6063242 9094863 15158105 18189726 30316210 45474315 90948630