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30132 = 223531
BaseRepresentation
bin111010110110100
31112100000
413112310
51431012
6351300
7153564
oct72664
945300
1030132
1120703
1215530
131093b
14ada4
158ddc
hex75b4

30132 has 36 divisors (see below), whose sum is σ = 81536. Its totient is φ = 9720.

The previous prime is 30119. The next prime is 30133. The reversal of 30132 is 23103.

Adding to 30132 its reverse (23103), we get a palindrome (53235).

It can be divided in two parts, 301 and 32, that added together give a palindrome (333).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 987.

230132 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 30132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40768).

30132 is an abundant number, since it is smaller than the sum of its proper divisors (51404).

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

30132 is a wasteful number, since it uses less digits than its factorization.

30132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30132 is about 173.5857136979. The cubic root of 30132 is about 31.1178311258.

The spelling of 30132 in words is "thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132