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96023664 = 2433113167
BaseRepresentation
bin1011011100100…
…11010001110000
320200200111201000
411232103101300
5144040224124
613310042000
72244121242
oct556232160
9220614630
1096023664
114a226000
12281a9300
1316b80949
14ca78092
15866b6c9
hex5b93470

96023664 has 160 divisors (see below), whose sum is σ = 304980480. Its totient is φ = 28923840.

The previous prime is 96023623. The next prime is 96023677. The reversal of 96023664 is 46632069.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 574909 + ... + 575075.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 296023664 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 96023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152490240).

96023664 is an abundant number, since it is smaller than the sum of its proper divisors (208956816).

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

96023664 is a wasteful number, since it uses less digits than its factorization.

96023664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 96023664 is about 9799.1664951668. The cubic root of 96023664 is about 457.9233168718.

The spelling of 96023664 in words is "ninety-six million, twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 167 176 198 216 242 264 297 334 363 396 432 484 501 528 594 668 726 792 968 1002 1089 1188 1331 1336 1452 1503 1584 1837 1936 2004 2178 2376 2662 2672 2904 3006 3267 3674 3993 4008 4356 4509 4752 5324 5511 5808 6012 6534 7348 7986 8016 8712 9018 10648 11022 11979 12024 13068 14696 15972 16533 17424 18036 20207 21296 22044 23958 24048 26136 29392 31944 33066 35937 36072 40414 44088 47916 49599 52272 60621 63888 66132 71874 72144 80828 88176 95832 99198 121242 132264 143748 161656 181863 191664 198396 222277 242484 264528 287496 323312 363726 396792 444554 484968 545589 574992 666831 727452 793584 889108 969936 1091178 1333662 1454904 1778216 2000493 2182356 2667324 2909808 3556432 4000986 4364712 5334648 6001479 8001972 8729424 10669296 12002958 16003944 24005916 32007888 48011832 96023664