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BaseRepresentation
bin11011110100000000
312210021021
4123310000
512121140
62235224
7653062
oct336400
9183237
10113920
1178654
1255b14
133cb11
142d732
1523b4a
hex1bd00

113920 has 36 divisors (see below), whose sum is σ = 275940. Its totient is φ = 45056.

The previous prime is 113909. The next prime is 113921. The reversal of 113920 is 29311.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 82944 = 176^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113894 and 113903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113921) by changing a digit.

113920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1236 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (7665).

2113920 is an apocalyptic number.

113920 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 113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137970).

113920 is an abundant number, since it is smaller than the sum of its proper divisors (162020).

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

113920 is an frugal number, since it uses more digits than its factorization.

113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 113920 is about 337.5203697557. The cubic root of 113920 is about 48.4767309642.

The spelling of 113920 in words is "one hundred thirteen thousand, nine hundred twenty".