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132380220 = 223571953313
BaseRepresentation
bin1111110001111…
…11011000111100
3100020002121112010
413320333120330
5232342131340
621045211220
73165133110
oct770773074
9306077463
10132380220
11687a8245
1238400b10
132156ccbb
141381d740
15b94db80
hex7e3f63c

132380220 has 192 divisors, whose sum is σ = 455777280. Its totient is φ = 28035072.

The previous prime is 132380219. The next prime is 132380233. The reversal of 132380220 is 22083231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422784 + ... + 423096.

It is an arithmetic number, because the mean of its divisors is an integer number (2373840).

Almost surely, 2132380220 is an apocalyptic number.

132380220 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 132380220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227888640).

132380220 is an abundant number, since it is smaller than the sum of its proper divisors (323397060).

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

132380220 is a wasteful number, since it uses less digits than its factorization.

132380220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132380220 is about 11505.6603461079. The cubic root of 132380220 is about 509.6527432313.

The spelling of 132380220 in words is "one hundred thirty-two million, three hundred eighty thousand, two hundred twenty".