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132020460 = 22325111323223
BaseRepresentation
bin1111101111001…
…11100011101100
3100012102100000200
413313213203230
5232244123320
621033353500
73162104205
oct767474354
9305370020
10132020460
1168581a20
1238268890
1321475320
14137685ac
15b8cc290
hex7de78ec

132020460 has 288 divisors, whose sum is σ = 493129728. Its totient is φ = 28131840.

The previous prime is 132020459. The next prime is 132020479. The reversal of 132020460 is 64020231.

It is a happy number.

132020460 is a `hidden beast` number, since 1 + 3 + 202 + 0 + 460 = 666.

It is a super-2 number, since 2×1320204602 = 34858803717223200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591909 + ... + 592131.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2132020460 is an apocalyptic number.

132020460 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 132020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

132020460 is an abundant number, since it is smaller than the sum of its proper divisors (361109268).

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

132020460 is a wasteful number, since it uses less digits than its factorization.

132020460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132020460 is about 11490.0156657857. The cubic root of 132020460 is about 509.1906424310.

Adding to 132020460 its reverse (64020231), we get a palindrome (196040691).

The spelling of 132020460 in words is "one hundred thirty-two million, twenty thousand, four hundred sixty".