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96131136 = 2631034861
BaseRepresentation
bin1011011101011…
…01100001000000
320200212222010110
411232231201000
5144102144021
613312231320
72245046463
oct556554100
9220788113
1096131136
114a299822
122823b540
1316bba83a
14caa52da
15868d476
hex5bad840

96131136 has 56 divisors (see below), whose sum is σ = 256869184. Its totient is φ = 31726080.

The previous prime is 96131117. The next prime is 96131137. The reversal of 96131136 is 63113169.

It is not an unprimeable number, because it can be changed into a prime (96131137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17346 + ... + 22206.

Almost surely, 296131136 is an apocalyptic number.

96131136 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 96131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128434592).

96131136 is an abundant number, since it is smaller than the sum of its proper divisors (160738048).

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

96131136 is a wasteful number, since it uses less digits than its factorization.

96131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4969 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 96131136 is about 9804.6486933495. The cubic root of 96131136 is about 458.0940927813.

The spelling of 96131136 in words is "ninety-six million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4861 4944 6592 9722 9888 14583 19444 19776 29166 38888 58332 77776 116664 155552 233328 311104 466656 500683 933312 1001366 1502049 2002732 3004098 4005464 6008196 8010928 12016392 16021856 24032784 32043712 48065568 96131136