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90734592 = 21531371
BaseRepresentation
bin1010110100010…
…00000000000000
320022201210110110
411122020000000
5141212001332
613000431320
72151142224
oct532100000
9208653413
1090734592
1147243273
1226478540
1315a4b410
14c09c784
157e744cc
hex5688000

90734592 has 128 divisors (see below), whose sum is σ = 264237120. Its totient is φ = 27525120.

The previous prime is 90734531. The next prime is 90734597. The reversal of 90734592 is 29543709.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 90734592.

It is not an unprimeable number, because it can be changed into a prime (90734597) 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, 1277917 + ... + 1277987.

Almost surely, 290734592 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 90734592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132118560).

90734592 is an abundant number, since it is smaller than the sum of its proper divisors (173502528).

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

90734592 is an equidigital number, since it uses as much as digits as its factorization.

90734592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 90734592 is about 9525.4706970312. The cubic root of 90734592 is about 449.3564331289.

The spelling of 90734592 in words is "ninety million, seven hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 512 568 624 768 832 852 923 1024 1136 1248 1536 1664 1704 1846 2048 2272 2496 2769 3072 3328 3408 3692 4096 4544 4992 5538 6144 6656 6816 7384 8192 9088 9984 11076 12288 13312 13632 14768 16384 18176 19968 22152 24576 26624 27264 29536 32768 36352 39936 44304 49152 53248 54528 59072 72704 79872 88608 98304 106496 109056 118144 145408 159744 177216 212992 218112 236288 290816 319488 354432 425984 436224 472576 581632 638976 708864 872448 945152 1163264 1277952 1417728 1744896 1890304 2326528 2835456 3489792 3780608 5670912 6979584 7561216 11341824 15122432 22683648 30244864 45367296 90734592