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6132 = 223773
BaseRepresentation
bin1011111110100
322102010
41133310
5144012
644220
723610
oct13764
98363
106132
114675
123670
132a39
142340
151c3c
hex17f4

6132 has 24 divisors (see below), whose sum is σ = 16576. Its totient is φ = 1728.

The previous prime is 6131. The next prime is 6133. The reversal of 6132 is 2316.

Adding to 6132 its reverse (2316), we get a palindrome (8448).

It is an interprime number because it is at equal distance from previous prime (6131) and next prime (6133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 120.

26132 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 6132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288).

6132 is an abundant number, since it is smaller than the sum of its proper divisors (10444).

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

6132 is a wasteful number, since it uses less digits than its factorization.

6132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 6132 is about 78.3070878018. The cubic root of 6132 is about 18.3034960026.

The spelling of 6132 in words is "six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132