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1385664 = 26371031
BaseRepresentation
bin101010010010011000000
32121101202220
411102103000
5323320124
645411040
714530560
oct5222300
92541686
101385664
11867085
12569a80
13396927
14280da0
151c5879
hex1524c0

1385664 has 56 divisors (see below), whose sum is σ = 4194048. Its totient is φ = 395520.

The previous prime is 1385647. The next prime is 1385693. The reversal of 1385664 is 4665831.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 1859.

21385664 is an apocalyptic number.

1385664 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 1385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097024).

1385664 is an abundant number, since it is smaller than the sum of its proper divisors (2808384).

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

1385664 is a wasteful number, since it uses less digits than its factorization.

1385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1385664 is about 1177.1423023577. The cubic root of 1385664 is about 111.4857375498.

The spelling of 1385664 in words is "one million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1031 1344 2062 3093 4124 6186 7217 8248 12372 14434 16496 21651 24744 28868 32992 43302 49488 57736 65984 86604 98976 115472 173208 197952 230944 346416 461888 692832 1385664