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96146136 = 23332915349
BaseRepresentation
bin1011011101100…
…01001011011000
320200220201201000
411232301023120
5144103134021
613312425000
72245141302
oct556611330
9220821630
1096146136
114a2aa019
1228248160
1316bc4608
14caaa972
158692b26
hex5bb12d8

96146136 has 64 divisors (see below), whose sum is σ = 276300000. Its totient is φ = 30941568.

The previous prime is 96146129. The next prime is 96146179. The reversal of 96146136 is 63164169.

96146136 is a `hidden beast` number, since 9 + 614 + 6 + 1 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 96146136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411 + ... + 13938.

Almost surely, 296146136 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 96146136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138150000).

96146136 is an abundant number, since it is smaller than the sum of its proper divisors (180153864).

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

96146136 is a wasteful number, since it uses less digits than its factorization.

96146136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15383 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 96146136 is about 9805.4136067787. The cubic root of 96146136 is about 458.1179180624.

The spelling of 96146136 in words is "ninety-six million, one hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 15349 30698 46047 61396 92094 122792 138141 184188 276282 368376 414423 445121 552564 828846 890242 1105128 1335363 1657692 1780484 2670726 3315384 3560968 4006089 5341452 8012178 10682904 12018267 16024356 24036534 32048712 48073068 96146136