Search a number
-
+
133669284 = 223723431609
BaseRepresentation
bin1111111011110…
…10000110100100
3100022112002210020
413331322012210
5233204404114
621132555140
73212112240
oct775720644
9308462706
10133669284
11694a8791
1238922ab0
1321901968
1413a77420
15bb05aa9
hex7f7a1a4

133669284 has 96 divisors (see below), whose sum is σ = 380835840. Its totient is φ = 35659008.

The previous prime is 133669273. The next prime is 133669379. The reversal of 133669284 is 482966331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82272 + ... + 83880.

It is an arithmetic number, because the mean of its divisors is an integer number (3967040).

Almost surely, 2133669284 is an apocalyptic number.

133669284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133669284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190417920).

133669284 is an abundant number, since it is smaller than the sum of its proper divisors (247166556).

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

133669284 is a wasteful number, since it uses less digits than its factorization.

133669284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 133669284 is about 11561.5433225846. The cubic root of 133669284 is about 511.3016653410.

The spelling of 133669284 in words is "one hundred thirty-three million, six hundred sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 172 258 276 301 322 483 516 602 644 903 966 989 1204 1609 1806 1932 1978 2967 3218 3612 3956 4827 5934 6436 6923 9654 11263 11868 13846 19308 20769 22526 27692 33789 37007 41538 45052 67578 69187 74014 83076 111021 135156 138374 148028 207561 222042 259049 276748 415122 444084 484309 518098 777147 830244 968618 1036196 1452927 1554294 1591301 1937236 2905854 3108588 3182602 4773903 5811708 6365204 9547806 11139107 19095612 22278214 33417321 44556428 66834642 133669284