Search a number
-
+
132788217 = 3417431453
BaseRepresentation
bin1111110101000…
…10111111111001
3100020212100012010
413322202333321
5232443210332
621102040133
73201452442
oct772427771
9306770163
10132788217
1168a56831
1238579049
1321683913
14138c82c9
15b9ce9cc
hex7ea2ff9

132788217 has 16 divisors (see below), whose sum is σ = 181738368. Its totient is φ = 86190720.

The previous prime is 132788167. The next prime is 132788237. The reversal of 132788217 is 712887231.

It is not a de Polignac number, because 132788217 - 211 = 132786169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132788237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90663 + ... + 92115.

It is an arithmetic number, because the mean of its divisors is an integer number (11358648).

Almost surely, 2132788217 is an apocalyptic number.

It is an amenable number.

132788217 is a deficient number, since it is larger than the sum of its proper divisors (48950151).

132788217 is a wasteful number, since it uses less digits than its factorization.

132788217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240.

The product of its digits is 37632, while the sum is 39.

The square root of 132788217 is about 11523.3769789936. The cubic root of 132788217 is about 510.1757909955.

The spelling of 132788217 in words is "one hundred thirty-two million, seven hundred eighty-eight thousand, two hundred seventeen".

Divisors: 1 3 41 123 743 1453 2229 4359 30463 59573 91389 178719 1079579 3238737 44262739 132788217