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132704250 = 23537223157
BaseRepresentation
bin1111110100011…
…10011111111010
3100020201002000020
413322032133322
5232433014000
621100151310
73200652600
oct772163772
9306632006
10132704250
11689a9738
1238538536
1321654633
14138a5870
15b9b4ba0
hex7e8e7fa

132704250 has 192 divisors, whose sum is σ = 404621568. Its totient is φ = 28828800.

The previous prime is 132704213. The next prime is 132704281. The reversal of 132704250 is 52407231.

It is a super-2 number, since 2×1327042502 = 35220835936125000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132704250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 845172 + ... + 845328.

It is an arithmetic number, because the mean of its divisors is an integer number (2107404).

Almost surely, 2132704250 is an apocalyptic number.

132704250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132704250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202310784).

132704250 is an abundant number, since it is smaller than the sum of its proper divisors (271917318).

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

132704250 is a wasteful number, since it uses less digits than its factorization.

132704250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132704250 is about 11519.7330698241. The cubic root of 132704250 is about 510.0682338539.

The spelling of 132704250 in words is "one hundred thirty-two million, seven hundred four thousand, two hundred fifty".