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116165412 = 2232112331259
BaseRepresentation
bin1101110110010…
…00101100100100
322002120210222200
412323020230210
5214214243122
615305454500
72610250446
oct673105444
9262523880
10116165412
115a632880
1232aa1430
131b0b373c
14115dc496
15a2e95ac
hex6ec8b24

116165412 has 72 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 35022720.

The previous prime is 116165393. The next prime is 116165419. The reversal of 116165412 is 214561611.

116165412 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 654 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (116165419) 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, 91639 + ... + 92897.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2116165412 is an apocalyptic number.

116165412 is a gapful number since it is divisible by the number (12) 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 116165412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

116165412 is an abundant number, since it is smaller than the sum of its proper divisors (205799868).

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

116165412 is a wasteful number, since it uses less digits than its factorization.

116165412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1508 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 116165412 is about 10778.0059380203. The cubic root of 116165412 is about 487.9316004196.

The spelling of 116165412 in words is "one hundred sixteen million, one hundred sixty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 932 1259 1398 2097 2518 2563 2796 3777 4194 5036 5126 7554 7689 8388 10252 11331 13849 15108 15378 22662 23067 27698 30756 41547 45324 46134 55396 83094 92268 124641 166188 249282 293347 498564 586694 880041 1173388 1760082 2640123 3226817 3520164 5280246 6453634 9680451 10560492 12907268 19360902 29041353 38721804 58082706 116165412