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117552 = 2433179
BaseRepresentation
bin11100101100110000
312222020210
4130230300
512230202
62304120
7666501
oct345460
9188223
10117552
1180356
1258040
1341676
1430ba8
1524c6c
hex1cb30

117552 has 40 divisors (see below), whose sum is σ = 317440. Its totient is φ = 37440.

The previous prime is 117541. The next prime is 117563. The reversal of 117552 is 255711.

It is an interprime number because it is at equal distance from previous prime (117541) and next prime (117563).

It is an unprimeable number.

117552 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 7 ways as a sum of consecutive naturals, for example, 1449 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (7936).

2117552 is an apocalyptic number.

117552 is a gapful number since it is divisible by the number (12) 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 117552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158720).

117552 is an abundant number, since it is smaller than the sum of its proper divisors (199888).

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

117552 is a wasteful number, since it uses less digits than its factorization.

117552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 350, while the sum is 21.

The square root of 117552 is about 342.8585714256. The cubic root of 117552 is about 48.9865296862.

The spelling of 117552 in words is "one hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 632 744 948 1264 1488 1896 2449 3792 4898 7347 9796 14694 19592 29388 39184 58776 117552