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132322014 = 232114759241
BaseRepresentation
bin1111110001100…
…01001011011110
3100012222122200100
413320301023132
5232333301024
621044041530
73164501316
oct770611336
9305878610
10132322014
1168768540
12383932a6
132154c666
1413806446
15b93b7c9
hex7e312de

132322014 has 96 divisors (see below), whose sum is σ = 326177280. Its totient is φ = 38419200.

The previous prime is 132322007. The next prime is 132322031. The reversal of 132322014 is 410223231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548934 + ... + 549174.

It is an arithmetic number, because the mean of its divisors is an integer number (3397680).

Almost surely, 2132322014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132322014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163088640).

132322014 is an abundant number, since it is smaller than the sum of its proper divisors (193855266).

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

132322014 is a wasteful number, since it uses less digits than its factorization.

132322014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132322014 is about 11503.1306173580. The cubic root of 132322014 is about 509.5780362083.

Adding to 132322014 its reverse (410223231), we get a palindrome (542545245).

The spelling of 132322014 in words is "one hundred thirty-two million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 59 66 94 99 118 141 177 198 241 282 354 423 482 517 531 649 723 846 1034 1062 1298 1446 1551 1947 2169 2651 2773 3102 3894 4338 4653 5302 5546 5841 7953 8319 9306 11327 11682 14219 15906 16638 22654 23859 24957 28438 30503 33981 42657 47718 49914 61006 67962 85314 91509 101943 124597 127971 156409 183018 203886 249194 255942 274527 312818 373791 469227 549054 668293 747582 938454 1121373 1336586 1407681 2004879 2242746 2815362 4009758 6014637 7351223 12029274 14702446 22053669 44107338 66161007 132322014