Search a number
-
+
132516370 = 2572922251
BaseRepresentation
bin1111110011000…
…00101000010010
3100020100112021201
413321200220102
5232411010440
621052141414
73166241050
oct771405022
9306315251
10132516370
1168890568
123846786a
13215b9c6c
14138571d0
15b97919a
hex7e60a12

132516370 has 48 divisors (see below), whose sum is σ = 282454848. Its totient is φ = 43848000.

The previous prime is 132516367. The next prime is 132516421. The reversal of 132516370 is 73615231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57745 + ... + 59995.

It is an arithmetic number, because the mean of its divisors is an integer number (5884476).

Almost surely, 2132516370 is an apocalyptic number.

132516370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132516370 is an abundant number, since it is smaller than the sum of its proper divisors (149938478).

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

132516370 is a wasteful number, since it uses less digits than its factorization.

132516370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 132516370 is about 11511.5754786215. The cubic root of 132516370 is about 509.8274053930.

The spelling of 132516370 in words is "one hundred thirty-two million, five hundred sixteen thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 841 1015 1682 2030 2251 4205 4502 5887 8410 11255 11774 15757 22510 29435 31514 58870 65279 78785 130558 157570 326395 456953 652790 913906 1893091 2284765 3786182 4569530 9465455 13251637 18930910 26503274 66258185 132516370