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132466080 = 25354153127
BaseRepresentation
bin1111110010101…
…00010110100000
3100020020222022010
413321110112200
5232402403310
621051112520
73165641325
oct771242640
9306228263
10132466080
11688567aa
1238442740
13215a00c6
1413842b4c
15b969320
hex7e545a0

132466080 has 192 divisors, whose sum is σ = 438939648. Its totient is φ = 33546240.

The previous prime is 132466079. The next prime is 132466097. The reversal of 132466080 is 80664231.

132466080 = T191 + T192 + ... + T928.

It is a super-3 number, since 3×1324660803 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042977 + ... + 1043103.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2132466080 is an apocalyptic number.

132466080 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 132466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824).

132466080 is an abundant number, since it is smaller than the sum of its proper divisors (306473568).

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

132466080 is a wasteful number, since it uses less digits than its factorization.

132466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 132466080 is about 11509.3909482648. The cubic root of 132466080 is about 509.7629040179.

The spelling of 132466080 in words is "one hundred thirty-two million, four hundred sixty-six thousand, eighty".