Search a number
-
+
133543104 = 2632233119
BaseRepresentation
bin1111111010110…
…11010011000000
3100022021200200220
413331123103000
5233141334404
621130143040
73211045332
oct775332300
9308250626
10133543104
1169421a02
1238881a80
13218893b6
1413a43452
15bacd4d9
hex7f5b4c0

133543104 has 56 divisors (see below), whose sum is σ = 355031040. Its totient is φ = 44300544.

The previous prime is 133543097. The next prime is 133543117. The reversal of 133543104 is 401345331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41257 + ... + 44375.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2133543104 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 133543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

133543104 is an abundant number, since it is smaller than the sum of its proper divisors (221487936).

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

133543104 is a wasteful number, since it uses less digits than its factorization.

133543104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 133543104 is about 11556.0851502574. The cubic root of 133543104 is about 511.1407299506.

Adding to 133543104 its reverse (401345331), we get a palindrome (534888435).

The spelling of 133543104 in words is "one hundred thirty-three million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3119 3568 5352 6238 7136 9357 10704 12476 14272 18714 21408 24952 37428 42816 49904 74856 99808 149712 199616 299424 598848 695537 1391074 2086611 2782148 4173222 5564296 8346444 11128592 16692888 22257184 33385776 44514368 66771552 133543104