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113120 = 2557101
BaseRepresentation
bin11011100111100000
312202011122
4123213200
512104440
62231412
7650540
oct334740
9182148
10113120
1177a97
1255568
133c647
142d320
15237b5
hex1b9e0

113120 has 48 divisors (see below), whose sum is σ = 308448. Its totient is φ = 38400.

The previous prime is 113117. The next prime is 113123. The reversal of 113120 is 21311.

Adding to 113120 its reverse (21311), we get a palindrome (134431).

Subtracting from 113120 its reverse (21311), we obtain a square (91809 = 3032).

It is an interprime number because it is at equal distance from previous prime (113117) and next prime (113123).

It is a super-2 number, since 2×1131202 = 25592268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 113098 and 113107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2113120 is an apocalyptic number.

113120 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 113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224).

113120 is an abundant number, since it is smaller than the sum of its proper divisors (195328).

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

113120 is a wasteful number, since it uses less digits than its factorization.

113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 113120 is about 336.3331681532. Note that the first 3 decimals coincide. The cubic root of 113120 is about 48.3629888031.

The spelling of 113120 in words is "one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 224 280 404 505 560 707 808 1010 1120 1414 1616 2020 2828 3232 3535 4040 5656 7070 8080 11312 14140 16160 22624 28280 56560 113120