Search a number
-
+
116675136 = 2632238807
BaseRepresentation
bin1101111010001…
…01001001000000
322010112201012100
412331011021000
5214332101021
615324430400
72614502514
oct675051100
9263481170
10116675136
115a950836
12330a8400
131b231756
14116d2144
15a39a626
hex6f45240

116675136 has 84 divisors (see below), whose sum is σ = 349008192. Its totient is φ = 37196544.

The previous prime is 116675107. The next prime is 116675137. The reversal of 116675136 is 631576611.

It is a super-2 number, since 2×1166751362 = 27226174721236992, which contains 22 as substring.

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 116675136.

It is not an unprimeable number, because it can be changed into a prime (116675137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8845 + ... + 17651.

Almost surely, 2116675136 is an apocalyptic number.

116675136 is a gapful number since it is divisible by the number (16) 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 116675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174504096).

116675136 is an abundant number, since it is smaller than the sum of its proper divisors (232333056).

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

116675136 is a wasteful number, since it uses less digits than its factorization.

116675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8835 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 116675136 is about 10801.6265441831. The cubic root of 116675136 is about 488.6442266467.

The spelling of 116675136 in words is "one hundred sixteen million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 8807 13248 17614 26421 35228 52842 70456 79263 105684 140912 158526 202561 211368 281824 317052 405122 422736 563648 607683 634104 810244 845472 1215366 1268208 1620488 1690944 1823049 2430732 2536416 3240976 3646098 4861464 5072832 6481952 7292196 9722928 12963904 14584392 19445856 29168784 38891712 58337568 116675136