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132260800 = 265273241
BaseRepresentation
bin1111110001000…
…10001111000000
3100012212112201011
413320202033000
5232324321200
621042450304
73164125000
oct770421700
9305775634
10132260800
1168726551
1238363994
132152a839
14137cc000
15b9285ba
hex7e223c0

132260800 has 168 divisors, whose sum is σ = 381101600. Its totient is φ = 45158400.

The previous prime is 132260753. The next prime is 132260809. The reversal of 132260800 is 8062231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132260809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548680 + ... + 548920.

Almost surely, 2132260800 is an apocalyptic number.

132260800 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 132260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190550800).

132260800 is an abundant number, since it is smaller than the sum of its proper divisors (248840800).

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

132260800 is an equidigital number, since it uses as much as digits as its factorization.

132260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 132260800 is about 11500.4695556312. The cubic root of 132260800 is about 509.4994447975.

The spelling of 132260800 in words is "one hundred thirty-two million, two hundred sixty thousand, eight hundred".