[go: up one dir, main page]

Search a number
-
+
133243506 = 232112131467
BaseRepresentation
bin1111111000100…
…10001001110010
3100021201110201200
413330102021302
5233102243011
621115512030
73205360014
oct774221162
9307643650
10133243506
1169237900
1238758616
13217b2c16
14139a61b4
15ba6e856
hex7f12272

133243506 has 72 divisors (see below), whose sum is σ = 320432112. Its totient is φ = 39982800.

The previous prime is 133243493. The next prime is 133243547. The reversal of 133243506 is 605342331.

It is a happy number.

133243506 is a `hidden beast` number, since 133 + 24 + 3 + 506 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133243506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285085 + ... + 285551.

It is an arithmetic number, because the mean of its divisors is an integer number (4450446).

Almost surely, 2133243506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133243506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160216056).

133243506 is an abundant number, since it is smaller than the sum of its proper divisors (187188606).

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

133243506 is a wasteful number, since it uses less digits than its factorization.

133243506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133243506 is about 11543.1150908236. The cubic root of 133243506 is about 510.7582032676.

Adding to 133243506 its reverse (605342331), we get a palindrome (738585837).

The spelling of 133243506 in words is "one hundred thirty-three million, two hundred forty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 131 198 242 262 363 393 467 726 786 934 1089 1179 1401 1441 2178 2358 2802 2882 4203 4323 5137 8406 8646 10274 12969 15411 15851 25938 30822 31702 46233 47553 56507 61177 92466 95106 113014 122354 142659 169521 183531 285318 339042 367062 508563 550593 672947 1017126 1101186 1345894 2018841 4037682 6056523 7402417 12113046 14804834 22207251 44414502 66621753 133243506