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6113688 = 2337151241
BaseRepresentation
bin10111010100100110011000
3102111121101220
4113110212120
53031114223
6335012040
7102652110
oct27244630
912447356
106113688
1134a6339
12206a020
131360989
14b52040
1580b6e3
hex5d4998

6113688 has 64 divisors (see below), whose sum is σ = 17656320. Its totient is φ = 1728000.

The previous prime is 6113671. The next prime is 6113689. The reversal of 6113688 is 8863116.

It is a super-2 number, since 2×61136882 = 74754361922688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25248 + ... + 25488.

It is an arithmetic number, because the mean of its divisors is an integer number (275880).

Almost surely, 26113688 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 6113688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828160).

6113688 is an abundant number, since it is smaller than the sum of its proper divisors (11542632).

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

6113688 is a wasteful number, since it uses less digits than its factorization.

6113688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 6113688 is about 2472.5873088730. The cubic root of 6113688 is about 182.8525791737.

The spelling of 6113688 in words is "six million, one hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 151 168 241 302 453 482 604 723 906 964 1057 1208 1446 1687 1812 1928 2114 2892 3171 3374 3624 4228 5061 5784 6342 6748 8456 10122 12684 13496 20244 25368 36391 40488 72782 109173 145564 218346 254737 291128 436692 509474 764211 873384 1018948 1528422 2037896 3056844 6113688