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117528 = 2335983
BaseRepresentation
bin11100101100011000
312222012220
4130230120
512230103
62304040
7666435
oct345430
9188186
10117528
1180334
1258020
1341658
1430b8c
1524c53
hex1cb18

117528 has 32 divisors (see below), whose sum is σ = 302400. Its totient is φ = 38048.

The previous prime is 117517. The next prime is 117529. The reversal of 117528 is 825711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 117498 and 117507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117529) by changing a digit.

117528 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, 1375 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2117528 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 117528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

117528 is an abundant number, since it is smaller than the sum of its proper divisors (184872).

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

117528 is a wasteful number, since it uses less digits than its factorization.

117528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 117528 is about 342.8235697848. The cubic root of 117528 is about 48.9831956815.

It can be divided in two parts, 117 and 528, that multiplied together give a triangular number (61776 = T351).

The spelling of 117528 in words is "one hundred seventeen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 83 118 166 177 236 249 332 354 472 498 664 708 996 1416 1992 4897 9794 14691 19588 29382 39176 58764 117528