Search a number
-
+
133140200 = 23521793719
BaseRepresentation
bin1111110111110…
…00111011101000
3100021112020000112
413323320323220
5233040441300
621113353452
73204446564
oct773707350
9307466015
10133140200
1169177226
1238708888
1321777bab
141397a6a4
15ba4de35
hex7ef8ee8

133140200 has 48 divisors (see below), whose sum is σ = 311364000. Its totient is φ = 52944320.

The previous prime is 133140199. The next prime is 133140221. The reversal of 133140200 is 2041331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33941 + ... + 37659.

It is an arithmetic number, because the mean of its divisors is an integer number (6486750).

Almost surely, 2133140200 is an apocalyptic number.

133140200 is a gapful number since it is divisible by the number (10) 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 133140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155682000).

133140200 is an abundant number, since it is smaller than the sum of its proper divisors (178223800).

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

133140200 is a wasteful number, since it uses less digits than its factorization.

133140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133140200 is about 11538.6394345261. The cubic root of 133140200 is about 510.6261692426.

Adding to 133140200 its reverse (2041331), we get a palindrome (135181531).

The spelling of 133140200 in words is "one hundred thirty-three million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 3580 3719 4475 7160 7438 8950 14876 17900 18595 29752 35800 37190 74380 92975 148760 185950 371900 665701 743800 1331402 2662804 3328505 5325608 6657010 13314020 16642525 26628040 33285050 66570100 133140200