Search a number
-
+
132302884 = 22710194637
BaseRepresentation
bin1111110001011…
…00100000100100
3100012221200102211
413320230200210
5232332143014
621043413204
73164361460
oct770544044
9305850384
10132302884
116875512a
1238384204
1321543a3c
14137dd4a0
15b935cc4
hex7e2c824

132302884 has 24 divisors (see below), whose sum is σ = 264922560. Its totient is φ = 56633376.

The previous prime is 132302881. The next prime is 132302887. The reversal of 132302884 is 488203231.

132302884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132302881) and next prime (132302887).

It is a super-4 number, since 4×1323028844 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (132302881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26214 + ... + 30850.

It is an arithmetic number, because the mean of its divisors is an integer number (11038440).

Almost surely, 2132302884 is an apocalyptic number.

132302884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132302884 is an abundant number, since it is smaller than the sum of its proper divisors (132619676).

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

132302884 is a wasteful number, since it uses less digits than its factorization.

132302884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 132302884 is about 11502.2990745329. The cubic root of 132302884 is about 509.5534781943.

The spelling of 132302884 in words is "one hundred thirty-two million, three hundred two thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 1019 2038 4076 4637 7133 9274 14266 18548 28532 32459 64918 129836 4725103 9450206 18900412 33075721 66151442 132302884