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116536356 = 223211812741
BaseRepresentation
bin1101111001000…
…11010000100100
322010021122211100
412330203100210
5214313130411
615321440100
72613354066
oct674432044
9263248740
10116536356
115a866542
1233040030
131b1b3531
1411697736
15a36e456
hex6f23424

116536356 has 36 divisors (see below), whose sum is σ = 294935004. Its totient is φ = 38798400.

The previous prime is 116536351. The next prime is 116536403. The reversal of 116536356 is 653635611.

116536356 is a `hidden beast` number, since 1 + 16 + 5 + 3 + 635 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74545956 + 41990400 = 8634^2 + 6480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 116536356.

It is not an unprimeable number, because it can be changed into a prime (116536351) 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, 41146 + ... + 43886.

It is an arithmetic number, because the mean of its divisors is an integer number (8192639).

Almost surely, 2116536356 is an apocalyptic number.

It is an amenable number.

116536356 is an abundant number, since it is smaller than the sum of its proper divisors (178398648).

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

116536356 is a wasteful number, since it uses less digits than its factorization.

116536356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3927 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 116536356 is about 10795.2006002668. The cubic root of 116536356 is about 488.4504094286.

The spelling of 116536356 in words is "one hundred sixteen million, five hundred thirty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1181 2362 2741 3543 4724 5482 7086 8223 10629 10964 14172 16446 21258 24669 32892 42516 49338 98676 3237121 6474242 9711363 12948484 19422726 29134089 38845452 58268178 116536356