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51132 = 2234261
BaseRepresentation
bin1100011110111100
32121010210
430132330
53114012
61032420
7302034
oct143674
977123
1051132
1135464
1225710
131a373
14148c4
151023c
hexc7bc

51132 has 12 divisors (see below), whose sum is σ = 119336. Its totient is φ = 17040.

The previous prime is 51131. The next prime is 51133. The reversal of 51132 is 23115.

Adding to 51132 its reverse (23115), we get a palindrome (74247).

It can be divided in two parts, 5113 and 2, that added together give a palindrome (5115).

It is an interprime number because it is at equal distance from previous prime (51131) and next prime (51133).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×511322 = 5228962848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 4261 = 51132 / (5 + 1 + 1 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2119 + ... + 2142.

251132 is an apocalyptic number.

It is an amenable number.

51132 is an abundant number, since it is smaller than the sum of its proper divisors (68204).

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 (59668).

51132 is a wasteful number, since it uses less digits than its factorization.

51132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4266 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 51132 is about 226.1238598645. The cubic root of 51132 is about 37.1162644254.

The spelling of 51132 in words is "fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 4261 8522 12783 17044 25566 51132