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113055600 = 24352743313
BaseRepresentation
bin1101011110100…
…01011101110000
321212201211010110
412233101131300
5212420234400
615115101320
72541646110
oct657213560
9255654113
10113055600
11588a9389
1231a41840
131a565108
141102d040
159dd2e50
hex6bd1770

113055600 has 240 divisors, whose sum is σ = 424869632. Its totient is φ = 25159680.

The previous prime is 113055587. The next prime is 113055617. The reversal of 113055600 is 6550311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361044 + ... + 361356.

Almost surely, 2113055600 is an apocalyptic number.

113055600 is a gapful number since it is divisible by the number (10) 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 113055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212434816).

113055600 is an abundant number, since it is smaller than the sum of its proper divisors (311814032).

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

113055600 is a wasteful number, since it uses less digits than its factorization.

113055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 113055600 is about 10632.7606951346. The cubic root of 113055600 is about 483.5380926596.

The spelling of 113055600 in words is "one hundred thirteen million, fifty-five thousand, six hundred".