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1380465828 = 22347289977
BaseRepresentation
bin101001001001000…
…0011110010100100
310120012120221010000
41102102003302210
510311344401303
6344552101300
746131523500
oct12222036244
93505527100
101380465828
11649267455
12326394830
1318cccc3b1
14d14a9300
15812d6da3
hex52483ca4

1380465828 has 180 divisors, whose sum is σ = 4249517580. Its totient is φ = 389587968.

The previous prime is 1380465809. The next prime is 1380465869. The reversal of 1380465828 is 8285640831.

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 555167844 = 28728^2 + 23562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1412476 + ... + 1413452.

It is an arithmetic number, because the mean of its divisors is an integer number (23608431).

Almost surely, 21380465828 is an apocalyptic number.

1380465828 is a gapful number since it is divisible by the number (18) 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 1380465828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124758790).

1380465828 is an abundant number, since it is smaller than the sum of its proper divisors (2869051752).

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

1380465828 is a wasteful number, since it uses less digits than its factorization.

1380465828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1380465828 is about 37154.6205471137. The cubic root of 1380465828 is about 1113.4615387358.

The spelling of 1380465828 in words is "one billion, three hundred eighty million, four hundred sixty-five thousand, eight hundred twenty-eight".