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116810892 = 223211973041
BaseRepresentation
bin1101111011001…
…10010010001100
322010210121102100
412331212102030
5214400422032
615331355100
72615606352
oct675462214
9263717370
10116810892
115aa33830
1233152a90
131b27b493
14117297d2
15a3c597c
hex6f6648c

116810892 has 72 divisors (see below), whose sum is σ = 325542672. Its totient is φ = 35020800.

The previous prime is 116810891. The next prime is 116810923. The reversal of 116810892 is 298018611.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (116810891) 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, 36892 + ... + 39932.

It is an arithmetic number, because the mean of its divisors is an integer number (4521426).

Almost surely, 2116810892 is an apocalyptic number.

116810892 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 116810892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162771336).

116810892 is an abundant number, since it is smaller than the sum of its proper divisors (208731780).

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

116810892 is a wasteful number, since it uses less digits than its factorization.

116810892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 116810892 is about 10807.9087708955. The cubic root of 116810892 is about 488.8336719625.

The spelling of 116810892 in words is "one hundred sixteen million, eight hundred ten thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3041 3201 3492 4268 6082 6402 9123 9603 12164 12804 18246 19206 27369 33451 36492 38412 54738 66902 100353 109476 133804 200706 294977 301059 401412 589954 602118 884931 1179908 1204236 1769862 2654793 3244747 3539724 5309586 6489494 9734241 10619172 12978988 19468482 29202723 38936964 58405446 116810892