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113627 = 37283
BaseRepresentation
bin11011101111011011
312202212102
4123233123
512114002
62234015
7652163
oct335733
9182772
10113627
1178408
125590b
133c947
142d5a3
1523a02
hex1bbdb

113627 has 6 divisors (see below), whose sum is σ = 118188. Its totient is φ = 109224.

The previous prime is 113623. The next prime is 113647. The reversal of 113627 is 726311.

It is a happy number.

It is not a de Polignac number, because 113627 - 22 = 113623 is a prime.

It is a super-2 number, since 2×1136272 = 25822190258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113599 and 113608.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113627.

It is not an unprimeable number, because it can be changed into a prime (113621) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1328 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (19698).

2113627 is an apocalyptic number.

113627 is a deficient number, since it is larger than the sum of its proper divisors (4561).

113627 is an frugal number, since it uses more digits than its factorization.

113627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 113627 is about 337.0860424283. The cubic root of 113627 is about 48.4351348828.

Adding to 113627 its reverse (726311), we get a palindrome (839938).

The spelling of 113627 in words is "one hundred thirteen thousand, six hundred twenty-seven".

Divisors: 1 37 83 1369 3071 113627