Search a number
-
+
132767340 = 22357093121
BaseRepresentation
bin1111110100111…
…01111001101100
3100020211021112220
413322131321230
5232442023330
621101355340
73201334536
oct772357154
9306737486
10132767340
1168a42082
1238568b50
1321677274
14138c0856
15b9c8710
hex7e9de6c

132767340 has 48 divisors (see below), whose sum is σ = 372392160. Its totient is φ = 35343360.

The previous prime is 132767329. The next prime is 132767377. The reversal of 132767340 is 43767231.

132767340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40980 + ... + 44100.

It is an arithmetic number, because the mean of its divisors is an integer number (7758170).

Almost surely, 2132767340 is an apocalyptic number.

132767340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132767340 is an abundant number, since it is smaller than the sum of its proper divisors (239624820).

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

132767340 is a wasteful number, since it uses less digits than its factorization.

132767340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 132767340 is about 11522.4710891371. The cubic root of 132767340 is about 510.1490529348.

The spelling of 132767340 in words is "one hundred thirty-two million, seven hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 709 1418 2127 2836 3121 3545 4254 6242 7090 8508 9363 10635 12484 14180 15605 18726 21270 31210 37452 42540 46815 62420 93630 187260 2212789 4425578 6638367 8851156 11063945 13276734 22127890 26553468 33191835 44255780 66383670 132767340