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132115140 = 22325733973
BaseRepresentation
bin1111101111111…
…10101011000100
3100012121010220100
413313332223010
5232310141030
621035404100
73162650223
oct767765304
9305533810
10132115140
1168637073
12382b3630
13214a9451
1413790cba
15b8ea360
hex7dfeac4

132115140 has 36 divisors (see below), whose sum is σ = 400749804. Its totient is φ = 35230656.

The previous prime is 132115133. The next prime is 132115141. The reversal of 132115140 is 41511231.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 60746436 = 8448^2 + 7794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132115141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366807 + ... + 367166.

It is an arithmetic number, because the mean of its divisors is an integer number (11131939).

Almost surely, 2132115140 is an apocalyptic number.

132115140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132115140 is an abundant number, since it is smaller than the sum of its proper divisors (268634664).

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

132115140 is a wasteful number, since it uses less digits than its factorization.

132115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733988 (or 733983 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 132115140 is about 11494.1350261775. The cubic root of 132115140 is about 509.3123373303.

Adding to 132115140 its reverse (41511231), we get a palindrome (173626371).

It can be divided in two parts, 1321 and 15140, that added together give a palindrome (16461).

The spelling of 132115140 in words is "one hundred thirty-two million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733973 1467946 2201919 2935892 3669865 4403838 6605757 7339730 8807676 11009595 13211514 14679460 22019190 26423028 33028785 44038380 66057570 132115140