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90143904 = 2531973677
BaseRepresentation
bin1010101111101…
…11110010100000
320021121210012010
411113313302200
5141034101104
612540032520
72143132134
oct527676240
9207553163
1090143904
114697a4a4
1226232740
13158a25b6
14bd873c4
157da9489
hex55f7ca0

90143904 has 96 divisors (see below), whose sum is σ = 252866880. Its totient is φ = 28035072.

The previous prime is 90143903. The next prime is 90143929. The reversal of 90143904 is 40934109.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×901439042 = 16251846856722432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90143903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132814 + ... + 133490.

It is an arithmetic number, because the mean of its divisors is an integer number (2634030).

Almost surely, 290143904 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 90143904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126433440).

90143904 is an abundant number, since it is smaller than the sum of its proper divisors (162722976).

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

90143904 is a wasteful number, since it uses less digits than its factorization.

90143904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90143904 is about 9494.4143579265. The cubic root of 90143904 is about 448.3791963818.

The spelling of 90143904 in words is "ninety million, one hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 114 146 152 219 228 292 304 438 456 584 608 677 876 912 1168 1354 1387 1752 1824 2031 2336 2708 2774 3504 4062 4161 5416 5548 7008 8124 8322 10832 11096 12863 16248 16644 21664 22192 25726 32496 33288 38589 44384 49421 51452 64992 66576 77178 98842 102904 133152 148263 154356 197684 205808 296526 308712 395368 411616 593052 617424 790736 938999 1186104 1234848 1581472 1877998 2372208 2816997 3755996 4744416 5633994 7511992 11267988 15023984 22535976 30047968 45071952 90143904