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113076 = 2234349
BaseRepresentation
bin11011100110110100
312202010000
4123212310
512104301
62231300
7650445
oct334664
9182100
10113076
1177a57
1255530
133c612
142d2cc
1523786
hex1b9b4

113076 has 30 divisors (see below), whose sum is σ = 296450. Its totient is φ = 37584.

The previous prime is 113063. The next prime is 113081. The reversal of 113076 is 670311.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 8100 = 324^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113076.

It is an unprimeable number.

113076 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 150 + ... + 498.

2113076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148225).

113076 is an abundant number, since it is smaller than the sum of its proper divisors (183374).

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

113076 is a wasteful number, since it uses less digits than its factorization.

113076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113076 is about 336.2677504608. The cubic root of 113076 is about 48.3567174468.

Adding to 113076 its reverse (670311), we get a palindrome (783387).

The spelling of 113076 in words is "one hundred thirteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 349 698 1047 1396 2094 3141 4188 6282 9423 12564 18846 28269 37692 56538 113076