Search a number
-
+
133232736 = 253713101151
BaseRepresentation
bin1111111000011…
…11100001100000
3100021200220221210
413330033201200
5233101421421
621115350120
73205313430
oct774174140
9307626853
10133232736
116922a7aa
1238752340
13217ab050
14139a22c0
15ba6b576
hex7f0f860

133232736 has 192 divisors, whose sum is σ = 437584896. Its totient is φ = 34560000.

The previous prime is 133232719. The next prime is 133232747. The reversal of 133232736 is 637232331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882261 + ... + 882411.

It is an arithmetic number, because the mean of its divisors is an integer number (2279088).

Almost surely, 2133232736 is an apocalyptic number.

133232736 is a gapful number since it is divisible by the number (16) 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 133232736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218792448).

133232736 is an abundant number, since it is smaller than the sum of its proper divisors (304352160).

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

133232736 is a wasteful number, since it uses less digits than its factorization.

133232736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its digits is 13608, while the sum is 30.

The square root of 133232736 is about 11542.6485695442. The cubic root of 133232736 is about 510.7444414610.

The spelling of 133232736 in words is "one hundred thirty-three million, two hundred thirty-two thousand, seven hundred thirty-six".