Search a number
-
+
1380064 = 25761101
BaseRepresentation
bin101010000111011100000
32121010002111
411100323200
5323130224
645325104
714505340
oct5207340
92533074
101380064
11862954
12566794
1339420a
1427cd20
151c3d94
hex150ee0

1380064 has 48 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 576000.

The previous prime is 1380053. The next prime is 1380083. The reversal of 1380064 is 4600831.

1380064 = T437 + T438 + ... + T450.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 111.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13614 + ... + 13714.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

21380064 is an apocalyptic number.

1380064 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 1380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648).

1380064 is an abundant number, since it is smaller than the sum of its proper divisors (1807232).

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

1380064 is a wasteful number, since it uses less digits than its factorization.

1380064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1380064 is about 1174.7612523402. The cubic root of 1380064 is about 111.3353492251.

Adding to 1380064 its reverse (4600831), we get a palindrome (5980895).

The spelling of 1380064 in words is "one million, three hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 101 112 122 202 224 244 404 427 488 707 808 854 976 1414 1616 1708 1952 2828 3232 3416 5656 6161 6832 11312 12322 13664 22624 24644 43127 49288 86254 98576 172508 197152 345016 690032 1380064