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1331774136 = 233572113141
BaseRepresentation
bin100111101100001…
…0100001010111000
310102210222010200000
41033120110022320
510211413233021
6340052313000
745000615300
oct11730241270
93383863600
101331774136
1162382a690
12312012760
13182bb1644
14c8c32600
157bdb9b26
hex4f6142b8

1331774136 has 576 divisors, whose sum is σ = 5019356160. Its totient is φ = 326592000.

The previous prime is 1331774131. The next prime is 1331774153. The reversal of 1331774136 is 6314771331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1331774136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331774131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32482276 + ... + 32482316.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 21331774136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331774136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1331774136 is an abundant number, since it is smaller than the sum of its proper divisors (3687582024).

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

1331774136 is a wasteful number, since it uses less digits than its factorization.

1331774136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 1331774136 is about 36493.4807328652. The cubic root of 1331774136 is about 1100.2132192739.

The spelling of 1331774136 in words is "one billion, three hundred thirty-one million, seven hundred seventy-four thousand, one hundred thirty-six".