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132774640 = 2451659683
BaseRepresentation
bin1111110100111…
…11101011110000
3100020211122120021
413322133223300
5232442242030
621101453224
73201365035
oct772375360
9306748507
10132774640
1168a47609
1238571214
132167a69b
14138c338c
15b9ca97a
hex7e9faf0

132774640 has 20 divisors (see below), whose sum is σ = 308701224. Its totient is φ = 53109824.

The previous prime is 132774623. The next prime is 132774659. The reversal of 132774640 is 46477231.

132774640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 132774596 and 132774605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829762 + ... + 829921.

Almost surely, 2132774640 is an apocalyptic number.

132774640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132774640 is an abundant number, since it is smaller than the sum of its proper divisors (175926584).

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

132774640 is a wasteful number, since it uses less digits than its factorization.

132774640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659696 (or 1659690 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 132774640 is about 11522.7878571117. The cubic root of 132774640 is about 510.1584026736.

The spelling of 132774640 in words is "one hundred thirty-two million, seven hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1659683 3319366 6638732 8298415 13277464 16596830 26554928 33193660 66387320 132774640