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116448156 = 2232111571873
BaseRepresentation
bin1101111000011…
…01101110011100
322010010011211200
412330031232130
5214302320111
615315515500
72612535666
oct674155634
9263104750
10116448156
115a806250
1232bb8b90
131b182346
1411673536
15a353256
hex6f0db9c

116448156 has 72 divisors (see below), whose sum is σ = 323332464. Its totient is φ = 35043840.

The previous prime is 116448109. The next prime is 116448173. The reversal of 116448156 is 651844611.

116448156 is a `hidden beast` number, since 1 + 1 + 644 + 8 + 1 + 5 + 6 = 666.

It is a super-3 number, since 3×1164481563 (a number of 25 digits) contains 333 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 116448156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61236 + ... + 63108.

Almost surely, 2116448156 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 116448156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161666232).

116448156 is an abundant number, since it is smaller than the sum of its proper divisors (206884308).

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

116448156 is a wasteful number, since it uses less digits than its factorization.

116448156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2046 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 116448156 is about 10791.1146782897. The cubic root of 116448156 is about 488.3271511860.

The spelling of 116448156 in words is "one hundred sixteen million, four hundred forty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 198 314 396 471 628 942 1413 1727 1873 1884 2826 3454 3746 5181 5619 5652 6908 7492 10362 11238 15543 16857 20603 20724 22476 31086 33714 41206 61809 62172 67428 82412 123618 185427 247236 294061 370854 588122 741708 882183 1176244 1764366 2646549 3234671 3528732 5293098 6469342 9704013 10586196 12938684 19408026 29112039 38816052 58224078 116448156