Search a number
-
+
133264626 = 23116179419
BaseRepresentation
bin1111111000101…
…11010011110010
3100021202112200220
413330113103302
5233103432001
621120153510
73205505415
oct774272362
9307675626
10133264626
1169251760
1238768896
13217bc711
14139adb7c
15ba75c36
hex7f174f2

133264626 has 64 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 39124800.

The previous prime is 133264619. The next prime is 133264669. The reversal of 133264626 is 626462331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317845 + ... + 318263.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2133264626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133264626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

133264626 is an abundant number, since it is smaller than the sum of its proper divisors (166716174).

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

133264626 is a wasteful number, since it uses less digits than its factorization.

133264626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its digits is 31104, while the sum is 33.

The square root of 133264626 is about 11544.0298856162. The cubic root of 133264626 is about 510.7851880557.

The spelling of 133264626 in words is "one hundred thirty-three million, two hundred sixty-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 61 66 79 122 158 183 237 366 419 474 671 838 869 1257 1342 1738 2013 2514 2607 4026 4609 4819 5214 9218 9638 13827 14457 25559 27654 28914 33101 51118 53009 66202 76677 99303 106018 153354 159027 198606 281149 318054 364111 562298 728222 843447 1092333 1686894 2019161 2184666 4038322 6057483 12114966 22210771 44421542 66632313 133264626