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132772240 = 2451659653
BaseRepresentation
bin1111110100111…
…11000110010000
3100020211112021101
413322133012100
5232442202430
621101434144
73201355036
oct772370620
9306745241
10132772240
1168a45827
123856b954
1321679573
14138c2556
15b9c9dca
hex7e9f190

132772240 has 20 divisors (see below), whose sum is σ = 308695644. Its totient is φ = 53108864.

The previous prime is 132772207. The next prime is 132772249. The reversal of 132772240 is 42277231.

It can be written as a sum of positive squares in 2 ways, for example, as 95023504 + 37748736 = 9748^2 + 6144^2 .

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 = 132772199 and 132772208.

It is not an unprimeable number, because it can be changed into a prime (132772249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829747 + ... + 829906.

Almost surely, 2132772240 is an apocalyptic number.

132772240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132772240 is an abundant number, since it is smaller than the sum of its proper divisors (175923404).

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

132772240 is a wasteful number, since it uses less digits than its factorization.

132772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659666 (or 1659660 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 132772240 is about 11522.6837151768. The cubic root of 132772240 is about 510.1553288247.

The spelling of 132772240 in words is "one hundred thirty-two million, seven hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1659653 3319306 6638612 8298265 13277224 16596530 26554448 33193060 66386120 132772240