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97240960 = 275151939
BaseRepresentation
bin1011100101111…
…00011110000000
320202222100112001
411302330132000
5144343202320
613352113344
72260351225
oct562743600
9222870461
1097240960
114a987633
1228695854
13171b8a3b
14ccb394c
15880c20a
hex5cbc780

97240960 has 32 divisors (see below), whose sum is σ = 232468200. Its totient is φ = 38896128.

The previous prime is 97240943. The next prime is 97240967. The reversal of 97240960 is 6904279.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97240967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 75330 + ... + 76609.

Almost surely, 297240960 is an apocalyptic number.

It is an amenable number.

97240960 is an abundant number, since it is smaller than the sum of its proper divisors (135227240).

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

97240960 is a wasteful number, since it uses less digits than its factorization.

97240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151958 (or 151946 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 97240960 is about 9861.0831048116. The cubic root of 97240960 is about 459.8502347991.

The spelling of 97240960 in words is "ninety-seven million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 151939 303878 607756 759695 1215512 1519390 2431024 3038780 4862048 6077560 9724096 12155120 19448192 24310240 48620480 97240960