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96119136 = 253547263
BaseRepresentation
bin1011011101010…
…10100101100000
320200212100200000
411232222211200
5144101303021
613312100000
72244666501
oct556524540
9220770600
1096119136
114a290803
1228234600
1316bb5239
14caa0ba8
158689b26
hex5baa960

96119136 has 144 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 31238784.

The previous prime is 96119131. The next prime is 96119159. The reversal of 96119136 is 63191169.

96119136 is a `hidden beast` number, since 9 + 611 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 self number, because there is not a number n which added to its sum of digits gives 96119136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96119131) by changing a digit.

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, 365341 + ... + 365603.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 296119136 is an apocalyptic number.

96119136 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 96119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

96119136 is an abundant number, since it is smaller than the sum of its proper divisors (194475168).

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

96119136 is a wasteful number, since it uses less digits than its factorization.

96119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 96119136 is about 9804.0367196375. The cubic root of 96119136 is about 458.0750307719.

The spelling of 96119136 in words is "ninety-six million, one hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 243 263 282 288 324 376 423 432 486 526 564 648 752 789 846 864 972 1052 1128 1269 1296 1504 1578 1692 1944 2104 2256 2367 2538 2592 3156 3384 3807 3888 4208 4512 4734 5076 6312 6768 7101 7614 7776 8416 9468 10152 11421 12361 12624 13536 14202 15228 18936 20304 21303 22842 24722 25248 28404 30456 37083 37872 40608 42606 45684 49444 56808 60912 63909 74166 75744 85212 91368 98888 111249 113616 121824 127818 148332 170424 182736 197776 222498 227232 255636 296664 333747 340848 365472 395552 444996 511272 593328 667494 681696 889992 1001241 1022544 1186656 1334988 1779984 2002482 2045088 2669976 3003723 3559968 4004964 5339952 6007446 8009928 10679904 12014892 16019856 24029784 32039712 48059568 96119136