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96755712 = 213331127
BaseRepresentation
bin1011100010001…
…10000000000000
320202001200212220
411301012000000
5144232140322
613333451040
72253260424
oct561060000
9222050786
1096755712
114a685aa9
12284a0a80
1317078c01
14cbc8b84
15876355c
hex5c46000

96755712 has 112 divisors (see below), whose sum is σ = 268419072. Its totient is φ = 30965760.

The previous prime is 96755669. The next prime is 96755717. The reversal of 96755712 is 21755769.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96755717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761793 + ... + 761919.

Almost surely, 296755712 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 96755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134209536).

96755712 is an abundant number, since it is smaller than the sum of its proper divisors (171663360).

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

96755712 is a wasteful number, since it uses less digits than its factorization.

96755712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its digits is 132300, while the sum is 42.

The square root of 96755712 is about 9836.4481394455. The cubic root of 96755712 is about 459.0840500911.

The spelling of 96755712 in words is "ninety-six million, seven hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 256 372 381 384 496 508 512 744 762 768 992 1016 1024 1488 1524 1536 1984 2032 2048 2976 3048 3072 3937 3968 4064 4096 5952 6096 6144 7874 7936 8128 8192 11811 11904 12192 12288 15748 15872 16256 23622 23808 24384 24576 31496 31744 32512 47244 47616 48768 62992 63488 65024 94488 95232 97536 125984 126976 130048 188976 190464 195072 251968 253952 260096 377952 380928 390144 503936 520192 755904 761856 780288 1007872 1040384 1511808 1560576 2015744 3023616 3121152 4031488 6047232 8062976 12094464 16125952 24188928 32251904 48377856 96755712