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116532 = 22331383
BaseRepresentation
bin11100011100110100
312220212000
4130130310
512212112
62255300
7663513
oct343464
9186760
10116532
117a609
1257530
1341070
143067a
15247dc
hex1c734

116532 has 48 divisors (see below), whose sum is σ = 329280. Its totient is φ = 35424.

The previous prime is 116531. The next prime is 116533. The reversal of 116532 is 235611.

116532 is a `hidden beast` number, since 11 + 653 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (116531) and next prime (116533).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

2116532 is an apocalyptic number.

116532 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 116532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164640).

116532 is an abundant number, since it is smaller than the sum of its proper divisors (212748).

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

116532 is a wasteful number, since it uses less digits than its factorization.

116532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 116532 is about 341.3678367978. The cubic root of 116532 is about 48.8444323441.

The spelling of 116532 in words is "one hundred sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 19422 29133 38844 58266 116532