Search a number
-
+
132001653 = 3779251317
BaseRepresentation
bin1111101111000…
…10111101110101
3100012101101020010
413313202331311
5232243023103
621033130433
73161665320
oct767427565
9305341203
10132001653
1168569883
1238259a19
13214698b4
14137617b7
15b8c6903
hex7de2f75

132001653 has 32 divisors (see below), whose sum is σ = 205148160. Its totient is φ = 73944000.

The previous prime is 132001637. The next prime is 132001657. The reversal of 132001653 is 356100231.

It is not a de Polignac number, because 132001653 - 24 = 132001637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001657) 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 31 ways as a sum of consecutive naturals, for example, 416251 + ... + 416567.

It is an arithmetic number, because the mean of its divisors is an integer number (6410880).

Almost surely, 2132001653 is an apocalyptic number.

It is an amenable number.

132001653 is a deficient number, since it is larger than the sum of its proper divisors (73146507).

132001653 is a wasteful number, since it uses less digits than its factorization.

132001653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 132001653 is about 11489.1972304422. The cubic root of 132001653 is about 509.1664623325.

Adding to 132001653 its reverse (356100231), we get a palindrome (488101884).

The spelling of 132001653 in words is "one hundred thirty-two million, one thousand, six hundred fifty-three".

Divisors: 1 3 7 21 79 237 251 317 553 753 951 1659 1757 2219 5271 6657 19829 25043 59487 75129 79567 138803 175301 238701 416409 525903 556969 1670907 6285793 18857379 44000551 132001653