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1380864 = 2932931
BaseRepresentation
bin101010001001000000000
32121011012010
411101020000
5323141424
645332520
714510562
oct5211000
92534163
101380864
11863511
12567140
133946a4
1427d332
151c4229
hex151200

1380864 has 80 divisors (see below), whose sum is σ = 3928320. Its totient is φ = 430080.

The previous prime is 1380853. The next prime is 1380881. The reversal of 1380864 is 4680831.

It is a happy number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44529 + ... + 44559.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

21380864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160).

1380864 is an abundant number, since it is smaller than the sum of its proper divisors (2547456).

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

1380864 is an equidigital number, since it uses as much as digits as its factorization.

1380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1380864 is about 1175.1016977266. The cubic root of 1380864 is about 111.3568581489.

The spelling of 1380864 in words is "one million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 348 372 384 464 496 512 696 744 768 899 928 992 1392 1488 1536 1798 1856 1984 2697 2784 2976 3596 3712 3968 5394 5568 5952 7192 7424 7936 10788 11136 11904 14384 14848 15872 21576 22272 23808 28768 43152 44544 47616 57536 86304 115072 172608 230144 345216 460288 690432 1380864