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96856720 = 2451816689
BaseRepresentation
bin1011100010111…
…10101010010000
320202020211102221
411301132222100
5144243403340
613335550424
72254161052
oct561365220
9222224387
1096856720
114a744984
122852b414
13170b2b8c
14cc138d2
15878344a
hex5c5ea90

96856720 has 40 divisors (see below), whose sum is σ = 226469880. Its totient is φ = 38522880.

The previous prime is 96856693. The next prime is 96856751. The reversal of 96856720 is 2765869.

It can be written as a sum of positive squares in 4 ways, for example, as 2611456 + 94245264 = 1616^2 + 9708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11136 + ... + 17824.

It is an arithmetic number, because the mean of its divisors is an integer number (5661747).

Almost surely, 296856720 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 96856720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113234940).

96856720 is an abundant number, since it is smaller than the sum of its proper divisors (129613160).

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

96856720 is a wasteful number, since it uses less digits than its factorization.

96856720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 96856720 is about 9841.5811737749. The cubic root of 96856720 is about 459.2437479313.

The spelling of 96856720 in words is "ninety-six million, eight hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 6689 7240 13378 14480 26756 33445 53512 66890 107024 133780 267560 535120 1210709 2421418 4842836 6053545 9685672 12107090 19371344 24214180 48428360 96856720