Search a number
-
+
133516504 = 231117312879
BaseRepresentation
bin1111111010101…
…00110011011000
3100022020100012201
413331110303120
5233140012004
621125415544
73210604642
oct775246330
9308210181
10133516504
1169403a20
123886a5b4
132187a264
1413a37892
15bac56a4
hex7f54cd8

133516504 has 64 divisors (see below), whose sum is σ = 298598400. Its totient is φ = 55257600.

The previous prime is 133516499. The next prime is 133516543. The reversal of 133516504 is 405615331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44937 + ... + 47815.

It is an arithmetic number, because the mean of its divisors is an integer number (4665600).

Almost surely, 2133516504 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 133516504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

133516504 is an abundant number, since it is smaller than the sum of its proper divisors (165081896).

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

133516504 is a wasteful number, since it uses less digits than its factorization.

133516504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 133516504 is about 11554.9341841483. The cubic root of 133516504 is about 511.1067902316.

The spelling of 133516504 in words is "one hundred thirty-three million, five hundred sixteen thousand, five hundred four".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 682 748 1054 1364 1496 2108 2728 2879 4216 5758 5797 11516 11594 23032 23188 31669 46376 48943 63338 89249 97886 126676 178498 195772 253352 356996 391544 538373 713992 981739 1076746 1517233 1963478 2153492 3034466 3926956 4306984 6068932 7853912 12137864 16689563 33379126 66758252 133516504