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116391528 = 233211179821
BaseRepresentation
bin1101110111111…
…11111001101000
322010000022011100
412323333321220
5214244012103
615314401400
72612211621
oct673777150
9263008140
10116391528
115a777750
1232b90260
131b162636
141165aa48
15a3415a3
hex6effe68

116391528 has 96 divisors (see below), whose sum is σ = 346226400. Its totient is φ = 35030400.

The previous prime is 116391521. The next prime is 116391533. The reversal of 116391528 is 825193611.

116391528 is a `hidden beast` number, since 1 + 1 + 639 + 15 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116391492 and 116391501.

It is not an unprimeable number, because it can be changed into a prime (116391521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141358 + ... + 142178.

It is an arithmetic number, because the mean of its divisors is an integer number (3606525).

Almost surely, 2116391528 is an apocalyptic number.

116391528 is a gapful number since it is divisible by the number (18) 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 116391528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173113200).

116391528 is an abundant number, since it is smaller than the sum of its proper divisors (229834872).

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

116391528 is a wasteful number, since it uses less digits than its factorization.

116391528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 116391528 is about 10788.4905338977. The cubic root of 116391528 is about 488.2479815522.

The spelling of 116391528 in words is "one hundred sixteen million, three hundred ninety-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 179 198 264 358 396 537 716 792 821 1074 1432 1611 1642 1969 2148 2463 3222 3284 3938 4296 4926 5907 6444 6568 7389 7876 9031 9852 11814 12888 14778 15752 17721 18062 19704 23628 27093 29556 35442 36124 47256 54186 59112 70884 72248 81279 108372 141768 146959 162558 216744 293918 325116 440877 587836 650232 881754 1175672 1322631 1616549 1763508 2645262 3233098 3527016 4849647 5290524 6466196 9699294 10581048 12932392 14548941 19398588 29097882 38797176 58195764 116391528