Search a number
-
+
132500082 = 2311213101139
BaseRepresentation
bin1111110010111…
…00101001110010
3100020022200221110
413321130221302
5232410000312
621051534150
73166142421
oct771345162
9306280843
10132500082
116887a300
123845a356
13215b2720
14138512b8
15b97443c
hex7e5ca72

132500082 has 96 divisors (see below), whose sum is σ = 319072320. Its totient is φ = 36432000.

The previous prime is 132500051. The next prime is 132500111. The reversal of 132500082 is 280005231.

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, 953169 + ... + 953307.

It is an arithmetic number, because the mean of its divisors is an integer number (3323670).

Almost surely, 2132500082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132500082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159536160).

132500082 is an abundant number, since it is smaller than the sum of its proper divisors (186572238).

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

132500082 is a wasteful number, since it uses less digits than its factorization.

132500082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 132500082 is about 11510.8679950732. The cubic root of 132500082 is about 509.8065163787.

The spelling of 132500082 in words is "one hundred thirty-two million, five hundred thousand, eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 121 139 143 202 242 278 286 303 363 417 429 606 726 834 858 1111 1313 1529 1573 1807 2222 2626 3058 3146 3333 3614 3939 4587 4719 5421 6666 7878 9174 9438 10842 12221 14039 14443 16819 19877 24442 28078 28886 33638 36663 39754 42117 43329 50457 59631 73326 84234 86658 100914 119262 154429 158873 182507 218647 308858 317746 365014 437294 463287 476619 547521 655941 926574 953238 1095042 1311882 1698719 2007577 3397438 4015154 5096157 6022731 10192314 12045462 22083347 44166694 66250041 132500082