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96064980 = 223511592467
BaseRepresentation
bin1011011100111…
…01010111010100
320200202121101020
411232131113110
5144043034410
613311001140
72244352554
oct556352724
9220677336
1096064980
114a254050
12282091b0
1316b966ab
14ca89164
158678a70
hex5b9d5d4

96064980 has 96 divisors (see below), whose sum is σ = 298529280. Its totient is φ = 22884480.

The previous prime is 96064973. The next prime is 96064981. The reversal of 96064980 is 8946069.

It is a super-3 number, since 3×960649803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96064981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37707 + ... + 40173.

It is an arithmetic number, because the mean of its divisors is an integer number (3109680).

Almost surely, 296064980 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 96064980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149264640).

96064980 is an abundant number, since it is smaller than the sum of its proper divisors (202464300).

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

96064980 is a wasteful number, since it uses less digits than its factorization.

96064980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 96064980 is about 9801.2744069330. The cubic root of 96064980 is about 457.9889841811.

The spelling of 96064980 in words is "ninety-six million, sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2467 2596 3245 3540 3894 4934 6490 7401 7788 9735 9868 12335 12980 14802 19470 24670 27137 29604 37005 38940 49340 54274 74010 81411 108548 135685 145553 148020 162822 271370 291106 325644 407055 436659 542740 582212 727765 814110 873318 1455530 1601083 1628220 1746636 2183295 2911060 3202166 4366590 4803249 6404332 8005415 8733180 9606498 16010830 19212996 24016245 32021660 48032490 96064980