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97260960 = 2535202627
BaseRepresentation
bin1011100110000…
…01010110100000
320210000100221210
411303001112200
5144344322320
613352350120
72260463436
oct563012640
9223010853
1097260960
114a9a0665
12286a5340
13171c4b84
14ccbad56
1588130e0
hex5cc15a0

97260960 has 48 divisors (see below), whose sum is σ = 306373536. Its totient is φ = 25936128.

The previous prime is 97260953. The next prime is 97260973. The reversal of 97260960 is 6906279.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100834 + ... + 101793.

It is an arithmetic number, because the mean of its divisors is an integer number (6382782).

Almost surely, 297260960 is an apocalyptic number.

It is an amenable number.

97260960 is an abundant number, since it is smaller than the sum of its proper divisors (209112576).

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

97260960 is a wasteful number, since it uses less digits than its factorization.

97260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202645 (or 202637 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 97260960 is about 9862.0971400610. The cubic root of 97260960 is about 459.8817591494.

The spelling of 97260960 in words is "ninety-seven million, two hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 202627 405254 607881 810508 1013135 1215762 1621016 2026270 2431524 3039405 3242032 4052540 4863048 6078810 6484064 8105080 9726096 12157620 16210160 19452192 24315240 32420320 48630480 97260960