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113507700 = 2235271732
BaseRepresentation
bin1101100001111…
…11110101110100
321220120210021220
412300333311310
5213024221300
615132510340
72545541145
oct660776564
9256523256
10113507700
1159088019
123201b3b0
131a692b27
1411109acc
159e71da0
hex6c3fd74

113507700 has 108 divisors (see below), whose sum is σ = 337665888. Its totient is φ = 29433600.

The previous prime is 113507699. The next prime is 113507717. The reversal of 113507700 is 7705311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554864 + ... + 1554936.

It is an arithmetic number, because the mean of its divisors is an integer number (3126536).

Almost surely, 2113507700 is an apocalyptic number.

113507700 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 113507700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168832944).

113507700 is an abundant number, since it is smaller than the sum of its proper divisors (224158188).

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

113507700 is a wasteful number, since it uses less digits than its factorization.

113507700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 113507700 is about 10653.9992491083. Note that the first 3 decimals coincide. The cubic root of 113507700 is about 484.1817783607.

The spelling of 113507700 in words is "one hundred thirteen million, five hundred seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 73 75 100 142 146 150 213 219 284 292 300 355 365 426 438 710 730 852 876 1065 1095 1420 1460 1775 1825 2130 2190 3550 3650 4260 4380 5183 5325 5329 5475 7100 7300 10366 10650 10658 10950 15549 15987 20732 21300 21316 21900 25915 26645 31098 31974 51830 53290 62196 63948 77745 79935 103660 106580 129575 133225 155490 159870 259150 266450 310980 319740 378359 388725 399675 518300 532900 756718 777450 799350 1135077 1513436 1554900 1598700 1891795 2270154 3783590 4540308 5675385 7567180 9458975 11350770 18917950 22701540 28376925 37835900 56753850 113507700