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132030132 = 223131994253
BaseRepresentation
bin1111101111010…
…01111010110100
3100012102211021220
413313221322310
5232244431012
621033510340
73162144333
oct767517264
9305384256
10132030132
1168589213
12382723b0
1321479850
141376bd1a
15b8d008c
hex7de9eb4

132030132 has 48 divisors (see below), whose sum is σ = 333513600. Its totient is φ = 40411008.

The previous prime is 132030131. The next prime is 132030137. The reversal of 132030132 is 231030231.

132030132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132030131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28918 + ... + 33170.

It is an arithmetic number, because the mean of its divisors is an integer number (6948200).

Almost surely, 2132030132 is an apocalyptic number.

132030132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166756800).

132030132 is an abundant number, since it is smaller than the sum of its proper divisors (201483468).

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

132030132 is a wasteful number, since it uses less digits than its factorization.

132030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132030132 is about 11490.4365452319. The cubic root of 132030132 is about 509.2030767956.

Adding to 132030132 its reverse (231030231), we get a palindrome (363060363).

Subtracting 132030132 from its reverse (231030231), we obtain a palindrome (99000099).

The spelling of 132030132 in words is "one hundred thirty-two million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 597 796 1194 2388 2587 4253 5174 7761 8506 10348 12759 15522 17012 25518 31044 51036 55289 110578 165867 221156 331734 663468 846347 1692694 2539041 3385388 5078082 10156164 11002511 22005022 33007533 44010044 66015066 132030132