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96101088 = 2531924759
BaseRepresentation
bin1011011101001…
…10001011100000
320200211102220120
411232212023200
5144100213323
613311440240
72244563046
oct556461340
9220742816
1096101088
114a279196
1228226080
1316ba9c65
14ca98396
1586845e3
hex5ba62e0

96101088 has 144 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 29198592.

The previous prime is 96101063. The next prime is 96101129. The reversal of 96101088 is 88010169.

It is a super-2 number, since 2×961010882 = 18470838229567488, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1628803 + ... + 1628861.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 296101088 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 96101088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

96101088 is an abundant number, since it is smaller than the sum of its proper divisors (180413472).

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

96101088 is a wasteful number, since it uses less digits than its factorization.

96101088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 96101088 is about 9803.1162392374. The cubic root of 96101088 is about 458.0463585220.

The spelling of 96101088 in words is "ninety-six million, one hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 59 76 94 96 114 118 141 152 177 188 228 236 282 304 354 361 376 456 472 564 608 708 722 752 893 912 944 1083 1121 1128 1416 1444 1504 1786 1824 1888 2166 2242 2256 2679 2773 2832 2888 3363 3572 4332 4484 4512 5358 5546 5664 5776 6726 7144 8319 8664 8968 10716 11092 11552 13452 14288 16638 16967 17328 17936 21299 21432 22184 26904 28576 33276 33934 34656 35872 42598 42864 44368 50901 52687 53808 63897 66552 67868 85196 85728 88736 101802 105374 107616 127794 133104 135736 158061 170392 203604 210748 255588 266208 271472 316122 340784 407208 421496 511176 542944 632244 681568 814416 842992 1001053 1022352 1264488 1628832 1685984 2002106 2044704 2528976 3003159 4004212 5057952 6006318 8008424 12012636 16016848 24025272 32033696 48050544 96101088