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96231072 = 2537891609
BaseRepresentation
bin1011011110001…
…01111010100000
320201002001012210
411233011322200
5144113343242
613314322120
72245644030
oct557057240
9221061183
1096231072
114a357913
1228289340
1316c24182
14cacd8c0
1586acd9c
hex5bc5ea0

96231072 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 27168768.

The previous prime is 96231071. The next prime is 96231133. The reversal of 96231072 is 27013269.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96231071) 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, 59004 + ... + 60612.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 296231072 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 96231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

96231072 is an abundant number, since it is smaller than the sum of its proper divisors (195887328).

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

96231072 is a wasteful number, since it uses less digits than its factorization.

96231072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 96231072 is about 9809.7437275395. The cubic root of 96231072 is about 458.2527796137.

The spelling of 96231072 in words is "ninety-six million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1609 1869 2136 2492 2848 3218 3738 4272 4827 4984 6436 7476 8544 9654 9968 11263 12872 14952 19308 19936 22526 25744 29904 33789 38616 45052 51488 59808 67578 77232 90104 135156 143201 154464 180208 270312 286402 360416 429603 540624 572804 859206 1002407 1081248 1145608 1718412 2004814 2291216 3007221 3436824 4009628 4582432 6014442 6873648 8019256 12028884 13747296 16038512 24057768 32077024 48115536 96231072