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1314080 = 25543191
BaseRepresentation
bin101000000110100100000
32110202120122
411000310200
5314022310
644055412
714112065
oct5006440
92422518
101314080
11818319
12534568
13370181
14262c6c
151ae555
hex140d20

1314080 has 48 divisors (see below), whose sum is σ = 3193344. Its totient is φ = 510720.

The previous prime is 1314043. The next prime is 1314101. The reversal of 1314080 is 804131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6785 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

21314080 is an apocalyptic number.

1314080 is a gapful number since it is divisible by the number (10) 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 1314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672).

1314080 is an abundant number, since it is smaller than the sum of its proper divisors (1879264).

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

1314080 is a wasteful number, since it uses less digits than its factorization.

1314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1314080 is about 1146.3332848696. Note that the first 3 decimals coincide. The cubic root of 1314080 is about 109.5318951033.

The spelling of 1314080 in words is "one million, three hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 191 215 344 382 430 688 764 860 955 1376 1528 1720 1910 3056 3440 3820 6112 6880 7640 8213 15280 16426 30560 32852 41065 65704 82130 131408 164260 262816 328520 657040 1314080