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96067920 = 24351341751
BaseRepresentation
bin1011011100111…
…10000101010000
320200202202102010
411232132011100
5144043133140
613311022520
72244364254
oct556360520
9220682363
1096067920
114a256283
122820aa40
1316b97b30
14ca8a264
158679880
hex5b9e150

96067920 has 160 divisors (see below), whose sum is σ = 328978944. Its totient is φ = 23040000.

The previous prime is 96067903. The next prime is 96067921. The reversal of 96067920 is 2976069.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96067921) 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 31 ways as a sum of consecutive naturals, for example, 127545 + ... + 128295.

Almost surely, 296067920 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 96067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164489472).

96067920 is an abundant number, since it is smaller than the sum of its proper divisors (232911024).

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

96067920 is a wasteful number, since it uses less digits than its factorization.

96067920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

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

The square root of 96067920 is about 9801.4243862818. The cubic root of 96067920 is about 457.9936562752.

The spelling of 96067920 in words is "ninety-six million, sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 41 48 52 60 65 78 80 82 104 120 123 130 156 164 195 205 208 240 246 260 312 328 390 410 492 520 533 615 624 656 751 780 820 984 1040 1066 1230 1502 1560 1599 1640 1968 2132 2253 2460 2665 3004 3120 3198 3280 3755 4264 4506 4920 5330 6008 6396 7510 7995 8528 9012 9763 9840 10660 11265 12016 12792 15020 15990 18024 19526 21320 22530 25584 29289 30040 30791 31980 36048 39052 42640 45060 48815 58578 60080 61582 63960 78104 90120 92373 97630 117156 123164 127920 146445 153955 156208 180240 184746 195260 234312 246328 292890 307910 369492 390520 400283 461865 468624 492656 585780 615820 738984 781040 800566 923730 1171560 1200849 1231640 1477968 1601132 1847460 2001415 2343120 2401698 2463280 3202264 3694920 4002830 4803396 6004245 6404528 7389840 8005660 9606792 12008490 16011320 19213584 24016980 32022640 48033960 96067920