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117144 = 23321627
BaseRepresentation
bin11100100110011000
312221200200
4130212120
512222034
62302200
7665346
oct344630
9187620
10117144
1180015
1257960
1341421
1430996
1524a99
hex1c998

117144 has 24 divisors (see below), whose sum is σ = 317460. Its totient is φ = 39024.

The previous prime is 117133. The next prime is 117163. The reversal of 117144 is 441711.

117144 = T37 + T38 + ... + T90.

It is a tau number, because it is divible by the number of its divisors (24).

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

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 117144.

It is an unprimeable number.

117144 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 5 ways as a sum of consecutive naturals, for example, 742 + ... + 885.

2117144 is an apocalyptic number.

It is an amenable number.

117144 is an abundant number, since it is smaller than the sum of its proper divisors (200316).

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

117144 is a wasteful number, since it uses less digits than its factorization.

117144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1632 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 117144 is about 342.2630567268. The cubic root of 117144 is about 48.9297897700.

Adding to 117144 its reverse (441711), we get a palindrome (558855).

The spelling of 117144 in words is "one hundred seventeen thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1627 3254 4881 6508 9762 13016 14643 19524 29286 39048 58572 117144