Search a number
-
+
132518988 = 22327525869
BaseRepresentation
bin1111110011000…
…01010001001100
3100020100122212200
413321201101030
5232411101423
621052201500
73166251510
oct771412114
9306318780
10132518988
1168892528
1238469290
13215bb204
1413858140
15b979d43
hex7e6144c

132518988 has 36 divisors (see below), whose sum is σ = 382833360. Its totient is φ = 37862496.

The previous prime is 132518987. The next prime is 132518989. The reversal of 132518988 is 889815231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132518987) and next prime (132518989).

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

It is a super-2 number, since 2×1325189882 = 35122564361088288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132518987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262683 + ... + 263186.

It is an arithmetic number, because the mean of its divisors is an integer number (10634260).

Almost surely, 2132518988 is an apocalyptic number.

132518988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132518988 is an abundant number, since it is smaller than the sum of its proper divisors (250314372).

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

132518988 is a wasteful number, since it uses less digits than its factorization.

132518988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525886 (or 525881 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 132518988 is about 11511.6891896889. The cubic root of 132518988 is about 509.8307627627.

The spelling of 132518988 in words is "one hundred thirty-two million, five hundred eighteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 525869 1051738 1577607 2103476 3155214 3681083 4732821 6310428 7362166 9465642 11043249 14724332 18931284 22086498 33129747 44172996 66259494 132518988