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96731136 = 2183241
BaseRepresentation
bin1011100010000…
…00000000000000
320202000110011200
411301000000000
5144230344021
613333141200
72253125655
oct561000000
9222013150
1096731136
114a669597
122848a800
131706a978
14cbbdc2c
15875b126
hex5c40000

96731136 has 114 divisors (see below), whose sum is σ = 286260702. Its totient is φ = 31457280.

The previous prime is 96731101. The next prime is 96731161. The reversal of 96731136 is 63113769.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 37748736 = 7680^2 + 6144^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 96731136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359276 + ... + 2359316.

Almost surely, 296731136 is an apocalyptic number.

96731136 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 96731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143130351).

96731136 is an abundant number, since it is smaller than the sum of its proper divisors (189529566).

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

96731136 is an frugal number, since it uses more digits than its factorization.

96731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 96731136 is about 9835.1988286969. The cubic root of 96731136 is about 459.0451776057.

The spelling of 96731136 in words is "ninety-six million, seven hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2048 2304 2624 2952 3072 3936 4096 4608 5248 5904 6144 7872 8192 9216 10496 11808 12288 15744 16384 18432 20992 23616 24576 31488 32768 36864 41984 47232 49152 62976 65536 73728 83968 94464 98304 125952 131072 147456 167936 188928 196608 251904 262144 294912 335872 377856 393216 503808 589824 671744 755712 786432 1007616 1179648 1343488 1511424 2015232 2359296 2686976 3022848 4030464 5373952 6045696 8060928 10747904 12091392 16121856 24182784 32243712 48365568 96731136