Search a number
-
+
116269056 = 213321983
BaseRepresentation
bin1101110111000…
…10000000000000
322002210002011100
412323202000000
5214231102211
615312014400
72611161561
oct673420000
9262702140
10116269056
115a6a3732
1232b31400
131b11b977
1411628168
15a31a156
hex6ee2000

116269056 has 168 divisors, whose sum is σ = 357804720. Its totient is φ = 36274176.

The previous prime is 116268991. The next prime is 116269073. The reversal of 116269056 is 650962611.

It is a super-2 number, since 2×1162690562 = 27036986766262272, which contains 22 as substring.

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 116269056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1400791 + ... + 1400873.

It is an arithmetic number, because the mean of its divisors is an integer number (2129790).

Almost surely, 2116269056 is an apocalyptic number.

116269056 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 116269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902360).

116269056 is an abundant number, since it is smaller than the sum of its proper divisors (241535664).

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

116269056 is an equidigital number, since it uses as much as digits as its factorization.

116269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 116269056 is about 10782.8129910520. The cubic root of 116269056 is about 488.0766698493.

The spelling of 116269056 in words is "one hundred sixteen million, two hundred sixty-nine thousand, fifty-six".