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83656960 = 28565357
BaseRepresentation
bin1001111110010…
…00000100000000
312211102012202221
410333020010000
5132404010320
612145020424
72034033562
oct477100400
9184365687
1083656960
1143249792
1224024714
1314440a7a
14b179332
1575273aa
hex4fc8100

83656960 has 36 divisors (see below), whose sum is σ = 200387628. Its totient is φ = 33462272.

The previous prime is 83656921. The next prime is 83656961. The reversal of 83656960 is 6965638.

It can be written as a sum of positive squares in 2 ways, for example, as 58736896 + 24920064 = 7664^2 + 4992^2 .

It is not an unprimeable number, because it can be changed into a prime (83656961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31399 + ... + 33958.

It is an arithmetic number, because the mean of its divisors is an integer number (5566323).

Almost surely, 283656960 is an apocalyptic number.

83656960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83656960 is an abundant number, since it is smaller than the sum of its proper divisors (116730668).

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

83656960 is an equidigital number, since it uses as much as digits as its factorization.

83656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65378 (or 65364 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 83656960 is about 9146.4178780548. The cubic root of 83656960 is about 437.3549298609.

The spelling of 83656960 in words is "eighty-three million, six hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 65357 130714 261428 326785 522856 653570 1045712 1307140 2091424 2614280 4182848 5228560 8365696 10457120 16731392 20914240 41828480 83656960