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29932 = 2271069
BaseRepresentation
bin111010011101100
31112001121
413103230
51424212
6350324
7153160
oct72354
945047
1029932
1120541
12153a4
1310816
14aca0
158d07
hex74ec

29932 has 12 divisors (see below), whose sum is σ = 59920. Its totient is φ = 12816.

The previous prime is 29927. The next prime is 29947. The reversal of 29932 is 23992.

29932 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29897 and 29906.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507 + ... + 562.

229932 is an apocalyptic number.

It is an amenable number.

29932 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29960).

29932 is a wasteful number, since it uses less digits than its factorization.

29932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1078 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 29932 is about 173.0086703030. The cubic root of 29932 is about 31.0488304313.

It can be divided in two parts, 29 and 932, that multiplied together give a triangular number (27028 = T232).

The spelling of 29932 in words is "twenty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 1069 2138 4276 7483 14966 29932