Search a number
-
+
133405040 = 2456724889
BaseRepresentation
bin1111111001110…
…01100101110000
3100022000200022102
413330321211300
5233122430130
621123155532
73206631656
oct774714560
9308020272
10133405040
11693381aa
1238815ba8
132183b5c2
1413a08dd6
15baa2645
hex7f39970

133405040 has 40 divisors (see below), whose sum is σ = 314808720. Its totient is φ = 52563456.

The previous prime is 133405039. The next prime is 133405043. The reversal of 133405040 is 40504331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133405043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7085 + ... + 17804.

It is an arithmetic number, because the mean of its divisors is an integer number (7870218).

Almost surely, 2133405040 is an apocalyptic number.

133405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133405040 is an abundant number, since it is smaller than the sum of its proper divisors (181403680).

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

133405040 is a wasteful number, since it uses less digits than its factorization.

133405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24969 (or 24963 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 133405040 is about 11550.1099561866. The cubic root of 133405040 is about 510.9645210080.

Adding to 133405040 its reverse (40504331), we get a palindrome (173909371).

The spelling of 133405040 in words is "one hundred thirty-three million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 24889 49778 99556 124445 199112 248890 398224 497780 995560 1667563 1991120 3335126 6670252 8337815 13340504 16675630 26681008 33351260 66702520 133405040