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132372480 = 2113531139
BaseRepresentation
bin1111110001111…
…01100000000000
3100020002012220110
413320331200000
5232341404410
621045111320
73165101412
oct770754000
9306065813
10132372480
11687a2449
12383b8540
1321569616
141381a9b2
15b94b720
hex7e3d800

132372480 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 33914880.

The previous prime is 132372451. The next prime is 132372497. The reversal of 132372480 is 84273231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1323724802 = 35044946922700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952251 + ... + 952389.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2132372480 is an apocalyptic number.

132372480 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 132372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

132372480 is an abundant number, since it is smaller than the sum of its proper divisors (307921920).

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

132372480 is a wasteful number, since it uses less digits than its factorization.

132372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 132372480 is about 11505.3239850080. The cubic root of 132372480 is about 509.6428102541.

The spelling of 132372480 in words is "one hundred thirty-two million, three hundred seventy-two thousand, four hundred eighty".