Search a number
-
+
1331770752 = 273213175231
BaseRepresentation
bin100111101100001…
…0011010110000000
310102210221222000200
41033120103112000
510211413131002
6340052245200
745000602364
oct11730232600
93383858020
101331770752
11623828094
12312010800
13182bacc40
14c8c312a4
157bdb8b1c
hex4f613580

1331770752 has 192 divisors, whose sum is σ = 4370708160. Its totient is φ = 385597440.

The previous prime is 1331770751. The next prime is 1331770777. The reversal of 1331770752 is 2570771331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13317707522 = 3547226671765291008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331770751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251977 + ... + 257207.

It is an arithmetic number, because the mean of its divisors is an integer number (22764105).

Almost surely, 21331770752 is an apocalyptic number.

1331770752 is a gapful number since it is divisible by the number (12) 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 1331770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185354080).

1331770752 is an abundant number, since it is smaller than the sum of its proper divisors (3038937408).

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

1331770752 is a wasteful number, since it uses less digits than its factorization.

1331770752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 1331770752 is about 36493.4343683902. The cubic root of 1331770752 is about 1100.2122874030.

The spelling of 1331770752 in words is "one billion, three hundred thirty-one million, seven hundred seventy thousand, seven hundred fifty-two".