Search a number
-
+
133563006 = 236101907
BaseRepresentation
bin1111111011000…
…00001001111110
3100022022201000000
413331200021332
5233143004011
621130415130
73211160343
oct775401176
9308281000
10133563006
1169435955
12388914a6
1321895485
1413a4a7ca
15bad4356
hex7f6027e

133563006 has 56 divisors (see below), whose sum is σ = 303687864. Its totient is φ = 44031600.

The previous prime is 133562971. The next prime is 133563043. The reversal of 133563006 is 600365331.

133563006 is a `hidden beast` number, since 1 + 3 + 356 + 300 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 146805 + ... + 147711.

Almost surely, 2133563006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133563006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151843932).

133563006 is an abundant number, since it is smaller than the sum of its proper divisors (170124858).

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

133563006 is an equidigital number, since it uses as much as digits as its factorization.

133563006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 133563006 is about 11556.9462229432. The cubic root of 133563006 is about 511.1661205478.

The spelling of 133563006 in words is "one hundred thirty-three million, five hundred sixty-three thousand, six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 729 907 909 1458 1814 1818 2721 2727 5442 5454 8163 8181 16326 16362 24489 24543 48978 49086 73467 73629 91607 146934 147258 183214 220401 274821 440802 549642 661203 824463 1322406 1648926 2473389 4946778 7420167 14840334 22260501 44521002 66781503 133563006