Search a number
-
+
132138090 = 23257209743
BaseRepresentation
bin1111110000001…
…00010001101010
3100012122022101100
413320010101222
5232311404330
621040102230
73163104150
oct770042152
9305568340
10132138090
1168652337
1238304976
13214b6a26
14137993d0
15b902060
hex7e0446a

132138090 has 48 divisors (see below), whose sum is σ = 392640768. Its totient is φ = 30202848.

The previous prime is 132138079. The next prime is 132138091. The reversal of 132138090 is 90831231.

It is not an unprimeable number, because it can be changed into a prime (132138091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104242 + ... + 105501.

It is an arithmetic number, because the mean of its divisors is an integer number (8180016).

Almost surely, 2132138090 is an apocalyptic number.

132138090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132138090 is an abundant number, since it is smaller than the sum of its proper divisors (260502678).

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

132138090 is a wasteful number, since it uses less digits than its factorization.

132138090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209763 (or 209760 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 132138090 is about 11495.1333180612. The cubic root of 132138090 is about 509.3418268634.

The spelling of 132138090 in words is "one hundred thirty-two million, one hundred thirty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 209743 419486 629229 1048715 1258458 1468201 1887687 2097430 2936402 3146145 3775374 4404603 6292290 7341005 8809206 9438435 13213809 14682010 18876870 22023015 26427618 44046030 66069045 132138090