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117964 = 22711383
BaseRepresentation
bin11100110011001100
312222211001
4130303030
512233324
62310044
71000630
oct346314
9188731
10117964
11806a0
1258324
1341902
1430dc0
1524e44
hex1cccc

117964 has 24 divisors (see below), whose sum is σ = 258048. Its totient is φ = 45840.

The previous prime is 117959. The next prime is 117973. The reversal of 117964 is 469711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 1 + 92 + 76 + 63 + 42 .

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2117964 is an apocalyptic number.

117964 is a gapful number since it is divisible by the number (14) 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 117964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

117964 is an abundant number, since it is smaller than the sum of its proper divisors (140084).

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

117964 is a wasteful number, since it uses less digits than its factorization.

117964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 117964 is about 343.4588767233. The cubic root of 117964 is about 49.0436928064.

It can be divided in two parts, 117 and 964, that added together give a triangular number (1081 = T46).

The spelling of 117964 in words is "one hundred seventeen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 383 766 1532 2681 4213 5362 8426 10724 16852 29491 58982 117964