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96279920 = 24511372957
BaseRepresentation
bin1011011110100…
…01110101110000
320201011112012222
411233101311300
5144121424140
613315340212
72246236322
oct557216560
9221145188
1096279920
114a390590
12282b1668
1316c40489
14cb03612
1586bc5b5
hex5bd1d70

96279920 has 80 divisors (see below), whose sum is σ = 250885728. Its totient is φ = 34053120.

The previous prime is 96279877. The next prime is 96279929. The reversal of 96279920 is 2997269.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96279929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31082 + ... + 34038.

Almost surely, 296279920 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 96279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125442864).

96279920 is an abundant number, since it is smaller than the sum of its proper divisors (154605808).

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

96279920 is a wasteful number, since it uses less digits than its factorization.

96279920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 96279920 is about 9812.2331810857. The cubic root of 96279920 is about 458.3303046265.

The spelling of 96279920 in words is "ninety-six million, two hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2957 2960 3256 4070 5914 6512 8140 11828 14785 16280 23656 29570 32527 32560 47312 59140 65054 109409 118280 130108 162635 218818 236560 260216 325270 437636 520432 547045 650540 875272 1094090 1203499 1301080 1750544 2188180 2406998 2602160 4376360 4813996 6017495 8752720 9627992 12034990 19255984 24069980 48139960 96279920