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116970336 = 25327173413
BaseRepresentation
bin1101111100011…
…01001101100000
322011002201010200
412332031031200
5214421022321
615335025200
72620142250
oct676151540
9264081120
10116970336
11600325aa
123320b200
131b305c22
141176b960
15a407d26
hex6f8d360

116970336 has 144 divisors (see below), whose sum is σ = 402633504. Its totient is φ = 31444992.

The previous prime is 116970331. The next prime is 116970349. The reversal of 116970336 is 633079611.

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 self number, because there is not a number n which added to its sum of digits gives 116970336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116970331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32566 + ... + 35978.

It is an arithmetic number, because the mean of its divisors is an integer number (2796066).

Almost surely, 2116970336 is an apocalyptic number.

116970336 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 116970336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201316752).

116970336 is an abundant number, since it is smaller than the sum of its proper divisors (285663168).

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

116970336 is a wasteful number, since it uses less digits than its factorization.

116970336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 116970336 is about 10815.2825205817. The cubic root of 116970336 is about 489.0559861626.

The spelling of 116970336 in words is "one hundred sixteen million, nine hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3413 3808 4284 4896 5712 6826 8568 10239 11424 13652 17136 20478 23891 27304 30717 34272 40956 47782 54608 58021 61434 71673 81912 95564 109216 116042 122868 143346 163824 174063 191128 215019 232084 245736 286692 327648 348126 382256 406147 430038 464168 491472 522189 573384 696252 764512 812294 860076 928336 982944 1044378 1146768 1218441 1392504 1624588 1720152 1856672 2088756 2293536 2436882 2785008 3249176 3440304 3655323 4177512 4873764 5570016 6498352 6880608 7310646 8355024 9747528 12996704 14621292 16710048 19495056 29242584 38990112 58485168 116970336