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132007617 = 3372113883
BaseRepresentation
bin1111101111001…
…00011011000001
3100012101200102000
413313210123001
5232243220432
621033214213
73162021600
oct767443301
9305350360
10132007617
1168573305
1238261369
132146c521
1413763a37
15b8c857c
hex7de46c1

132007617 has 48 divisors (see below), whose sum is σ = 229769280. Its totient is φ = 74680704.

The previous prime is 132007609. The next prime is 132007619. The reversal of 132007617 is 716700231.

It is not a de Polignac number, because 132007617 - 23 = 132007609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132007619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149058 + ... + 149940.

It is an arithmetic number, because the mean of its divisors is an integer number (4786860).

Almost surely, 2132007617 is an apocalyptic number.

It is an amenable number.

132007617 is a deficient number, since it is larger than the sum of its proper divisors (97761663).

132007617 is a wasteful number, since it uses less digits than its factorization.

132007617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 132007617 is about 11489.4567756705. The cubic root of 132007617 is about 509.1741304765.

Adding to 132007617 its reverse (716700231), we get a palindrome (848707848).

The spelling of 132007617 in words is "one hundred thirty-two million, seven thousand, six hundred seventeen".

Divisors: 1 3 7 9 21 27 49 63 113 147 189 339 441 791 883 1017 1323 2373 2649 3051 5537 6181 7119 7947 16611 18543 21357 23841 43267 49833 55629 99779 129801 149499 166887 299337 389403 698453 898011 1168209 2095359 2694033 4889171 6286077 14667513 18858231 44002539 132007617