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113420120 = 235111913567
BaseRepresentation
bin1101100001010…
…10011101011000
321220102100011012
412300222131120
5213013420440
615130553052
72545024622
oct660523530
9256370135
10113420120
1159028240
1231b98788
131a661cc8
14110c5c12
159e55e65
hex6c2a758

113420120 has 64 divisors (see below), whose sum is σ = 293068800. Its totient is φ = 39070080.

The previous prime is 113420057. The next prime is 113420161. The reversal of 113420120 is 21024311.

It is a junction number, because it is equal to n+sod(n) for n = 113420095 and 113420104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577 + ... + 15143.

It is an arithmetic number, because the mean of its divisors is an integer number (4579200).

Almost surely, 2113420120 is an apocalyptic number.

113420120 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 113420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146534400).

113420120 is an abundant number, since it is smaller than the sum of its proper divisors (179648680).

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

113420120 is a wasteful number, since it uses less digits than its factorization.

113420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 113420120 is about 10649.8882623246. Note that the first 3 decimals coincide. The cubic root of 113420120 is about 484.0572183794.

Adding to 113420120 its reverse (21024311), we get a palindrome (134444431).

The spelling of 113420120 in words is "one hundred thirteen million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 13567 27134 54268 67835 108536 135670 149237 257773 271340 298474 515546 542680 596948 746185 1031092 1193896 1288865 1492370 2062184 2577730 2835503 2984740 5155460 5671006 5969480 10310920 11342012 14177515 22684024 28355030 56710060 113420120