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116958204 = 2232112631123
BaseRepresentation
bin1101111100010…
…10001111111100
322011002002111100
412332022033330
5214420130304
615334453100
72620062006
oct676121774
9264062440
10116958204
1160024480
1233204190
131b30054c
1411767376
15a404439
hex6f8a3fc

116958204 has 72 divisors (see below), whose sum is σ = 324035712. Its totient is φ = 35275680.

The previous prime is 116958203. The next prime is 116958223. The reversal of 116958204 is 402859611.

116958204 is a `hidden beast` number, since 11 + 69 + 582 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116958203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103587 + ... + 104709.

It is an arithmetic number, because the mean of its divisors is an integer number (4500496).

Almost surely, 2116958204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116958204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162017856).

116958204 is an abundant number, since it is smaller than the sum of its proper divisors (207077508).

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

116958204 is a wasteful number, since it uses less digits than its factorization.

116958204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116958204 is about 10814.7216330334. The cubic root of 116958204 is about 489.0390775099.

The spelling of 116958204 in words is "one hundred sixteen million, nine hundred fifty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 526 789 1052 1123 1578 2246 2367 2893 3156 3369 4492 4734 5786 6738 8679 9468 10107 11572 12353 13476 17358 20214 24706 26037 34716 37059 40428 49412 52074 74118 104148 111177 148236 222354 295349 444708 590698 886047 1181396 1772094 2658141 3248839 3544188 5316282 6497678 9746517 10632564 12995356 19493034 29239551 38986068 58479102 116958204