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132686080 = 285234507
BaseRepresentation
bin1111110100010…
…10000100000000
3100020200011002021
413322022010000
5232431423310
621055531224
73200545612
oct772120400
9306604067
10132686080
116899701a
1238529b14
1321649297
141389cdb2
15b9ae5da
hex7e8a100

132686080 has 72 divisors (see below), whose sum is σ = 331716672. Its totient is φ = 50755584.

The previous prime is 132686051. The next prime is 132686117. The reversal of 132686080 is 80686231.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27187 + ... + 31693.

It is an arithmetic number, because the mean of its divisors is an integer number (4607176).

Almost surely, 2132686080 is an apocalyptic number.

132686080 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 132686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165858336).

132686080 is an abundant number, since it is smaller than the sum of its proper divisors (199030592).

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

132686080 is an equidigital number, since it uses as much as digits as its factorization.

132686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 132686080 is about 11518.9443960807. The cubic root of 132686080 is about 510.0449531054.

The spelling of 132686080 in words is "one hundred thirty-two million, six hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 4507 5888 7360 9014 14720 18028 22535 29440 36056 45070 72112 90140 103661 144224 180280 207322 288448 360560 414644 518305 576896 721120 829288 1036610 1153792 1442240 1658576 2073220 2884480 3317152 4146440 5768960 6634304 8292880 13268608 16585760 26537216 33171520 66343040 132686080