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1385104 = 24783149
BaseRepresentation
bin101010010001010010000
32121101000011
411102022100
5323310404
645404304
714526130
oct5221220
92541004
101385104
11866716
12569694
133965b6
14280ac0
151c5604
hex152290

1385104 has 40 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 582528.

The previous prime is 1385101. The next prime is 1385113. The reversal of 1385104 is 4015831.

It is not an unprimeable number, because it can be changed into a prime (1385101) by changing a digit.

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, 9222 + ... + 9370.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

21385104 is an apocalyptic number.

1385104 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 1385104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1385104 is an abundant number, since it is smaller than the sum of its proper divisors (1739696).

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

1385104 is a wasteful number, since it uses less digits than its factorization.

1385104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1385104 is about 1176.9044141306. The cubic root of 1385104 is about 111.4707169711.

The spelling of 1385104 in words is "one million, three hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 149 166 298 332 581 596 664 1043 1162 1192 1328 2086 2324 2384 4172 4648 8344 9296 12367 16688 24734 49468 86569 98936 173138 197872 346276 692552 1385104