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1380028104 = 233571329269
BaseRepresentation
bin101001001000001…
…1000111011001000
310120011202200200000
41102100120323020
510311241344404
6344534443000
746125021360
oct12220307310
93504680600
101380028104
11648a985a4
12326203460
1318cba80a0
14d13d39a0
158124c339
hex52418ec8

1380028104 has 384 divisors, whose sum is σ = 4953312000. Its totient is φ = 350106624.

The previous prime is 1380028081. The next prime is 1380028157. The reversal of 1380028104 is 4018200831.

1380028104 is a `hidden beast` number, since 1 + 380 + 0 + 281 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5130082 + ... + 5130350.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 21380028104 is an apocalyptic number.

1380028104 is a gapful number since it is divisible by the number (14) 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 1380028104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656000).

1380028104 is an abundant number, since it is smaller than the sum of its proper divisors (3573283896).

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

1380028104 is a wasteful number, since it uses less digits than its factorization.

1380028104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1380028104 is about 37148.7295072120. The cubic root of 1380028104 is about 1113.3438392481.

Adding to 1380028104 its reverse (4018200831), we get a palindrome (5398228935).

The spelling of 1380028104 in words is "one billion, three hundred eighty million, twenty-eight thousand, one hundred four".