Search a number
-
+
133800660 = 2237571923
BaseRepresentation
bin1111111100110…
…10001011010100
3100022202210000000
413332122023110
5233223110120
621135451300
73213200250
oct776321324
9308683000
10133800660
1169588464
1238986b30
13219496b6
1413aad260
15bb2e990
hex7f9a2d4

133800660 has 384 divisors, whose sum is σ = 528998400. Its totient is φ = 27713664.

The previous prime is 133800629. The next prime is 133800677. The reversal of 133800660 is 66008331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5817409 + ... + 5817431.

It is an arithmetic number, because the mean of its divisors is an integer number (1377600).

Almost surely, 2133800660 is an apocalyptic number.

133800660 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 133800660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264499200).

133800660 is an abundant number, since it is smaller than the sum of its proper divisors (395197740).

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

133800660 is a wasteful number, since it uses less digits than its factorization.

133800660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133800660 is about 11567.2235216581. The cubic root of 133800660 is about 511.4691203484.

Adding to 133800660 its reverse (66008331), we get a palindrome (199808991).

The spelling of 133800660 in words is "one hundred thirty-three million, eight hundred thousand, six hundred sixty".