Search a number
-
+
133350840 = 23335731569
BaseRepresentation
bin1111111001011…
…00010110111000
3100021220220222000
413330230112320
5233114211330
621122101000
73206314650
oct774542670
9307826860
10133350840
1169300507
12387aa760
132181ca2c
14139d3360
15ba91560
hex7f2c5b8

133350840 has 256 divisors, whose sum is σ = 525312000. Its totient is φ = 29445120.

The previous prime is 133350829. The next prime is 133350853. The reversal of 133350840 is 48053331.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 234076 + ... + 234644.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 2133350840 is an apocalyptic number.

133350840 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 133350840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262656000).

133350840 is an abundant number, since it is smaller than the sum of its proper divisors (391961160).

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

133350840 is a wasteful number, since it uses less digits than its factorization.

133350840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133350840 is about 11547.7634198142. The cubic root of 133350840 is about 510.8953131568.

The spelling of 133350840 in words is "one hundred thirty-three million, three hundred fifty thousand, eight hundred forty".