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116811756 = 223223711987
BaseRepresentation
bin1101111011001…
…10011111101100
322010210122121100
412331212133230
5214400434011
615331403100
72615612025
oct675463754
9263718540
10116811756
115aa34446
1233153490
131b27b9a9
1411729c4c
15a3c5d56
hex6f667ec

116811756 has 72 divisors (see below), whose sum is σ = 312609024. Its totient is φ = 36701280.

The previous prime is 116811749. The next prime is 116811757. The reversal of 116811756 is 657118611.

116811756 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

116811756 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 116811756.

It is not an unprimeable number, because it can be changed into a prime (116811757) 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, 57795 + ... + 59781.

It is an arithmetic number, because the mean of its divisors is an integer number (4341792).

Almost surely, 2116811756 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 116811756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156304512).

116811756 is an abundant number, since it is smaller than the sum of its proper divisors (195797268).

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

116811756 is a wasteful number, since it uses less digits than its factorization.

116811756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2086 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 116811756 is about 10807.9487415513. The cubic root of 116811756 is about 488.8348771904.

The spelling of 116811756 in words is "one hundred sixteen million, eight hundred eleven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 71 92 138 142 207 213 276 284 414 426 639 828 852 1278 1633 1987 2556 3266 3974 4899 5961 6532 7948 9798 11922 14697 17883 19596 23844 29394 35766 45701 58788 71532 91402 137103 141077 182804 274206 282154 411309 423231 548412 564308 822618 846462 1269693 1645236 1692924 2539386 3244771 5078772 6489542 9734313 12979084 19468626 29202939 38937252 58405878 116811756