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96365696 = 277131821
BaseRepresentation
bin1011011111001…
…10110010000000
320201022212212212
411233212302000
5144132200241
613321241252
72250044360
oct557466200
9221285785
1096365696
114a439a79
1228333228
1316c7052b
14cb269a0
1586d7beb
hex5be6c80

96365696 has 64 divisors (see below), whose sum is σ = 221348160. Its totient is φ = 40934400.

The previous prime is 96365683. The next prime is 96365747. The reversal of 96365696 is 69656369.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

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, 116966 + ... + 117786.

It is an arithmetic number, because the mean of its divisors is an integer number (3458565).

Almost surely, 296365696 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 96365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110674080).

96365696 is an abundant number, since it is smaller than the sum of its proper divisors (124982464).

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

96365696 is a wasteful number, since it uses less digits than its factorization.

96365696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 50.

The square root of 96365696 is about 9816.6030784585. The cubic root of 96365696 is about 458.4663733972.

The spelling of 96365696 in words is "ninety-six million, three hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 448 524 821 896 917 1048 1642 1834 2096 3284 3668 4192 5747 6568 7336 8384 11494 13136 14672 16768 22988 26272 29344 45976 52544 58688 91952 105088 107551 117376 183904 215102 367808 430204 735616 752857 860408 1505714 1720816 3011428 3441632 6022856 6883264 12045712 13766528 24091424 48182848 96365696