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132490800 = 2432521319149
BaseRepresentation
bin1111110010110…
…10011000110000
3100020022020012200
413321122120300
5232404201200
621051423200
73166103361
oct771323060
9306266180
10132490800
1168873332
1238454b00
13215ab430
141384bb68
15b971800
hex7e5a630

132490800 has 360 divisors, whose sum is σ = 524706000. Its totient is φ = 30689280.

The previous prime is 132490789. The next prime is 132490823. The reversal of 132490800 is 8094231.

132490800 = T229 + T230 + ... + T930.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 889126 + ... + 889274.

Almost surely, 2132490800 is an apocalyptic number.

132490800 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 132490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262353000).

132490800 is an abundant number, since it is smaller than the sum of its proper divisors (392215200).

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

132490800 is a wasteful number, since it uses less digits than its factorization.

132490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132490800 is about 11510.4648038209. The cubic root of 132490800 is about 509.7946116450.

The spelling of 132490800 in words is "one hundred thirty-two million, four hundred ninety thousand, eight hundred".