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90999012 = 22313312607
BaseRepresentation
bin1010110110010…
…00100011100100
320100020020011210
411123020203210
5141243432022
613010231420
72153323146
oct533104344
9210206153
1090999012
11474039a5
1226585570
1315b11890
14c12ac96
157ec7a0c
hex56c88e4

90999012 has 72 divisors (see below), whose sum is σ = 236667648. Its totient is φ = 27051840.

The previous prime is 90998989. The next prime is 90999023. The reversal of 90999012 is 21099909.

It is a happy number.

It is a super-2 number, since 2×909990122 = 16561640369952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149613 + ... + 150219.

Almost surely, 290999012 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 90999012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118333824).

90999012 is an abundant number, since it is smaller than the sum of its proper divisors (145668636).

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

90999012 is a wasteful number, since it uses less digits than its factorization.

90999012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 90999012 is about 9539.3402287580. The cubic root of 90999012 is about 449.7925166952.

The spelling of 90999012 in words is "ninety million, nine hundred ninety-nine thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 607 806 961 1209 1214 1612 1821 1922 2418 2428 2883 3642 3844 4836 5766 7284 7891 11532 12493 15782 18817 23673 24986 31564 37479 37634 47346 49972 56451 74958 75268 94692 112902 149916 225804 244621 489242 583327 733863 978484 1166654 1467726 1749981 2333308 2935452 3499962 6999924 7583251 15166502 22749753 30333004 45499506 90999012