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132493320 = 2335543317
BaseRepresentation
bin1111110010110…
…11000000001000
3100020022100200000
413321123000020
5232404241240
621051443000
73166113621
oct771330010
9306270600
10132493320
1168875213
1238456460
13215ac61b
141384ca48
15b972430
hex7e5b008

132493320 has 192 divisors, whose sum is σ = 458377920. Its totient is φ = 34401024.

The previous prime is 132493303. The next prime is 132493369. The reversal of 132493320 is 23394231.

It is a happy number.

132493320 is a `hidden beast` number, since 1 + 324 + 9 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417802 + ... + 418118.

It is an arithmetic number, because the mean of its divisors is an integer number (2387385).

Almost surely, 2132493320 is an apocalyptic number.

132493320 is a gapful number since it is divisible by the number (10) 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 132493320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229188960).

132493320 is an abundant number, since it is smaller than the sum of its proper divisors (325884600).

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

132493320 is a wasteful number, since it uses less digits than its factorization.

132493320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 132493320 is about 11510.5742689060. The cubic root of 132493320 is about 509.7978437544.

The spelling of 132493320 in words is "one hundred thirty-two million, four hundred ninety-three thousand, three hundred twenty".