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132973116 = 223173779223
BaseRepresentation
bin1111110110100…
…00001000111100
3100021012201211020
413323100020330
5233020114431
621110024140
73203152503
oct773201074
9307181736
10132973116
1169072741
1238648050
1321719b23
141393583a
15ba19696
hex7ed023c

132973116 has 96 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 39896064.

The previous prime is 132973109. The next prime is 132973117. The reversal of 132973116 is 611379231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132973117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596181 + ... + 596403.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2132973116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132973116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

132973116 is an abundant number, since it is smaller than the sum of its proper divisors (210230724).

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

132973116 is a wasteful number, since it uses less digits than its factorization.

132973116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 132973116 is about 11531.3969665431. The cubic root of 132973116 is about 510.4124767655.

The spelling of 132973116 in words is "one hundred thirty-two million, nine hundred seventy-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 79 102 111 148 158 204 222 223 237 316 444 446 474 629 669 892 948 1258 1338 1343 1887 2516 2676 2686 2923 3774 3791 4029 5372 5846 7548 7582 8058 8251 8769 11373 11692 15164 16116 16502 17538 17617 22746 24753 33004 35076 35234 45492 49506 49691 52851 70468 99012 99382 105702 140267 149073 198764 211404 280534 298146 299489 420801 561068 596292 598978 651829 841602 898467 1197956 1303658 1683204 1796934 1955487 2607316 3593868 3910974 7821948 11081093 22162186 33243279 44324372 66486558 132973116