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117037856 = 2513353797
BaseRepresentation
bin1101111100111…
…01101100100000
322011020010202102
412332131230200
5214430202411
615340305532
72620543145
oct676355440
9264203672
10117037856
1160079301
12332422a8
131b32a890
14117883cc
15a41cd3b
hex6f9db20

117037856 has 48 divisors (see below), whose sum is σ = 249157944. Its totient is φ = 53796864.

The previous prime is 117037847. The next prime is 117037871. The reversal of 117037856 is 658730711.

It can be written as a sum of positive squares in 4 ways, for example, as 74995600 + 42042256 = 8660^2 + 6484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146450 + ... + 147246.

Almost surely, 2117037856 is an apocalyptic number.

117037856 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 117037856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124578972).

117037856 is an abundant number, since it is smaller than the sum of its proper divisors (132120088).

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

117037856 is a wasteful number, since it uses less digits than its factorization.

117037856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 117037856 is about 10818.4035790869. The cubic root of 117037856 is about 489.1500690149.

The spelling of 117037856 in words is "one hundred seventeen million, thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 353 416 706 797 1412 1594 2824 3188 4589 5648 6376 9178 10361 11296 12752 18356 20722 25504 36712 41444 73424 82888 146848 165776 281341 331552 562682 1125364 2250728 3657433 4501456 7314866 9002912 14629732 29259464 58518928 117037856