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85932 = 223271131
BaseRepresentation
bin10100111110101100
311100212200
4110332230
510222212
61501500
7505350
oct247654
9140780
1085932
1159620
1241890
1330162
1423460
151a6dc
hex14fac

85932 has 72 divisors (see below), whose sum is σ = 279552. Its totient is φ = 21600.

The previous prime is 85931. The next prime is 85933. The reversal of 85932 is 23958.

It is an interprime number because it is at equal distance from previous prime (85931) and next prime (85933).

It is an Ulam number.

Its product of digits (2160) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 85896 and 85905.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85932.

It is not an unprimeable number, because it can be changed into a prime (85931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757 + ... + 2787.

285932 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 85932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776).

85932 is an abundant number, since it is smaller than the sum of its proper divisors (193620).

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

85932 is a wasteful number, since it uses less digits than its factorization.

85932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 85932 is about 293.1416040073. The cubic root of 85932 is about 44.1284127453.

Subtracting from 85932 its sum of digits (27), we obtain a triangular number (85905 = T414).

The spelling of 85932 in words is "eighty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 85932