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132200640 = 263351113107
BaseRepresentation
bin1111110000100…
…11100011000000
3100012202111012000
413320103203000
5232320410030
621041304000
73163454415
oct770234300
9305674160
10132200640
1168695330
1238335000
1321509340
14137b410c
15b915860
hex7e138c0

132200640 has 448 divisors, whose sum is σ = 553029120. Its totient is φ = 29306880.

The previous prime is 132200633. The next prime is 132200641. The reversal of 132200640 is 46002231.

It is a happy number.

132200640 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 0 + 640 = 666.

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 (132200641) 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, 1235467 + ... + 1235573.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2132200640 is an apocalyptic number.

132200640 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 132200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

132200640 is an abundant number, since it is smaller than the sum of its proper divisors (420828480).

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

132200640 is a wasteful number, since it uses less digits than its factorization.

132200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

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

The square root of 132200640 is about 11497.8537127587. The cubic root of 132200640 is about 509.4221829655.

Adding to 132200640 its reverse (46002231), we get a palindrome (178202871).

The spelling of 132200640 in words is "one hundred thirty-two million, two hundred thousand, six hundred forty".