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96011136 = 2733132137
BaseRepresentation
bin1011011100100…
…00001110000000
320200122212112000
411232100032000
5144034324021
613305504000
72244036564
oct556201600
9220585460
1096011136
114a217651
12281a2000
1316b78030
14ca736a4
158667b26
hex5b90380

96011136 has 128 divisors (see below), whose sum is σ = 305306400. Its totient is φ = 29528064.

The previous prime is 96011117. The next prime is 96011137. The reversal of 96011136 is 63111069.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96011137) 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, 43860 + ... + 45996.

Almost surely, 296011136 is an apocalyptic number.

96011136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152653200).

96011136 is an abundant number, since it is smaller than the sum of its proper divisors (209295264).

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

96011136 is a wasteful number, since it uses less digits than its factorization.

96011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 96011136 is about 9798.5272362738. The cubic root of 96011136 is about 457.9034012504.

The spelling of 96011136 in words is "ninety-six million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2137 2496 2808 3456 3744 4274 4992 5616 6411 7488 8548 11232 12822 14976 17096 19233 22464 25644 27781 34192 38466 44928 51288 55562 57699 68384 76932 83343 102576 111124 115398 136768 153864 166686 205152 222248 230796 250029 273536 307728 333372 410304 444496 461592 500058 615456 666744 750087 820608 888992 923184 1000116 1230912 1333488 1500174 1777984 1846368 2000232 2461824 2666976 3000348 3555968 3692736 4000464 5333952 6000696 7385472 8000928 10667904 12001392 16001856 24002784 32003712 48005568 96011136