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116326656 = 2832291741
BaseRepresentation
bin1101110111100…
…00000100000000
322002220000011200
412323300010000
5214234423111
615313141200
72611521525
oct673600400
9262800150
10116326656
115a732a36
1232b5a800
131b13bc54
141164114c
15a32c256
hex6ef0100

116326656 has 108 divisors (see below), whose sum is σ = 347163180. Its totient is φ = 37416960.

The previous prime is 116326643. The next prime is 116326657. The reversal of 116326656 is 656623611.

116326656 is a `hidden beast` number, since 11 + 632 + 6 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 96825600 = 4416^2 + 9840^2 .

It is a super-2 number, since 2×1163266562 = 27063781792284672, 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 116326656.

It is not an unprimeable number, because it can be changed into a prime (116326657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65946 + ... + 67686.

Almost surely, 2116326656 is an apocalyptic number.

116326656 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 116326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173581590).

116326656 is an abundant number, since it is smaller than the sum of its proper divisors (230836524).

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

116326656 is a wasteful number, since it uses less digits than its factorization.

116326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1775 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 116326656 is about 10785.4835774758. The cubic root of 116326656 is about 488.1572547041.

The spelling of 116326656 in words is "one hundred sixteen million, three hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1741 1856 2088 2304 2784 3482 3712 4176 5223 5568 6964 7424 8352 10446 11136 13928 15669 16704 20892 22272 27856 31338 33408 41784 50489 55712 62676 66816 83568 100978 111424 125352 151467 167136 201956 222848 250704 302934 334272 403912 445696 454401 501408 605868 668544 807824 908802 1002816 1211736 1337088 1615648 1817604 2005632 2423472 3231296 3635208 4011264 4846944 6462592 7270416 9693888 12925184 14540832 19387776 29081664 38775552 58163328 116326656