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132330132 = 2233112329167
BaseRepresentation
bin1111110001100…
…11001010010100
3100020000001211000
413320303022110
5232334031012
621044143300
73164534064
oct770631224
9306001730
10132330132
1168773650
1238397b30
132155326c
14138093a4
15b93dddc
hex7e33294

132330132 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 36812160.

The previous prime is 132330131. The next prime is 132330139. The reversal of 132330132 is 231033231.

It is a super-4 number, since 4×1323301324 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792313 + ... + 792479.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2132330132 is an apocalyptic number.

132330132 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 132330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

132330132 is an abundant number, since it is smaller than the sum of its proper divisors (274095468).

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

132330132 is a wasteful number, since it uses less digits than its factorization.

132330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132330132 is about 11503.4834724096. The cubic root of 132330132 is about 509.5884569231.

Adding to 132330132 its reverse (231033231), we get a palindrome (363363363).

The spelling of 132330132 in words is "one hundred thirty-two million, three hundred thirty thousand, one hundred thirty-two".