Search a number
-
+
1382266080 = 2533513151163
BaseRepresentation
bin101001001100011…
…1011010011100000
310120022222101121000
41102120323103200
510312330003310
6345054432000
746153032156
oct12230732340
93508871530
101382266080
1164a286a68
12326b02600
131904ac930
14d18173d6
15815404c0
hex5263b4e0

1382266080 has 384 divisors, whose sum is σ = 5276759040. Its totient is φ = 335923200.

The previous prime is 1382266069. The next prime is 1382266111. The reversal of 1382266080 is 806622831.

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

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, 8480079 + ... + 8480241.

It is an arithmetic number, because the mean of its divisors is an integer number (13741560).

Almost surely, 21382266080 is an apocalyptic number.

1382266080 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 1382266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638379520).

1382266080 is an abundant number, since it is smaller than the sum of its proper divisors (3894492960).

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

1382266080 is a wasteful number, since it uses less digits than its factorization.

1382266080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1382266080 is about 37178.8391427167. The cubic root of 1382266080 is about 1113.9453465919.

The spelling of 1382266080 in words is "one billion, three hundred eighty-two million, two hundred sixty-six thousand, eighty".