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96768960 = 2635100801
BaseRepresentation
bin1011100010010…
…01001111000000
320202002101001120
411301021033000
5144233101320
613334032240
72253344151
oct561111700
9222071046
1096768960
114a694a52
12284a8680
1317081c52
14cbcd928
158767440
hex5c493c0

96768960 has 56 divisors (see below), whose sum is σ = 307244496. Its totient is φ = 25804800.

The previous prime is 96768943. The next prime is 96769007. The reversal of 96768960 is 6986769.

It is a happy number.

It is a congruent number.

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, 49441 + ... + 51360.

Almost surely, 296768960 is an apocalyptic number.

It is an amenable number.

96768960 is an abundant number, since it is smaller than the sum of its proper divisors (210475536).

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

96768960 is a wasteful number, since it uses less digits than its factorization.

96768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100821 (or 100811 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 96768960 is about 9837.1215302038. The cubic root of 96768960 is about 459.1050020597.

The spelling of 96768960 in words is "ninety-six million, seven hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 100801 201602 302403 403204 504005 604806 806408 1008010 1209612 1512015 1612816 2016020 2419224 3024030 3225632 4032040 4838448 6048060 6451264 8064080 9676896 12096120 16128160 19353792 24192240 32256320 48384480 96768960