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90734688 = 2533119547
BaseRepresentation
bin1010110100010…
…00000001100000
320022201210121000
411122020001200
5141212002223
613000432000
72151142422
oct532100140
9208653530
1090734688
1147243350
1226478600
1315a4b485
14c09c812
157e74543
hex5688060

90734688 has 96 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 27492480.

The previous prime is 90734669. The next prime is 90734711. The reversal of 90734688 is 88643709.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4731 + ... + 14277.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 290734688 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 90734688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

90734688 is an abundant number, since it is smaller than the sum of its proper divisors (197996832).

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

90734688 is a wasteful number, since it uses less digits than its factorization.

90734688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 90734688 is about 9525.4757361509. The cubic root of 90734688 is about 449.3565916065.

The spelling of 90734688 in words is "ninety million, seven hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 9547 19094 28641 38188 57282 76376 85923 105017 114564 152752 171846 210034 229128 257769 305504 315051 343692 420068 458256 515538 630102 687384 840136 916512 945153 1031076 1260204 1374768 1680272 1890306 2062152 2520408 2749536 2835459 3360544 3780612 4124304 5040816 5670918 7561224 8248608 10081632 11341836 15122448 22683672 30244896 45367344 90734688