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1314300 = 2235213337
BaseRepresentation
bin101000000110111111100
32110202212210
411000313330
5314024200
644100420
714112531
oct5006774
92422783
101314300
118184a9
12534710
133702c0
14262d88
151ae650
hex140dfc

1314300 has 72 divisors (see below), whose sum is σ = 4107376. Its totient is φ = 322560.

The previous prime is 1314283. The next prime is 1314301. The reversal of 1314300 is 34131.

Adding to 1314300 its reverse (34131), we get a palindrome (1348431).

1314300 = 982 + 992 + ... + 1692.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3732 + ... + 4068.

21314300 is an apocalyptic number.

1314300 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 1314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053688).

1314300 is an abundant number, since it is smaller than the sum of its proper divisors (2793076).

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

1314300 is a wasteful number, since it uses less digits than its factorization.

1314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1314300 is about 1146.4292389851. The cubic root of 1314300 is about 109.5380072812.

The spelling of 1314300 in words is "one million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 337 390 650 674 780 975 1011 1300 1348 1685 1950 2022 3370 3900 4044 4381 5055 6740 8425 8762 10110 13143 16850 17524 20220 21905 25275 26286 33700 43810 50550 52572 65715 87620 101100 109525 131430 219050 262860 328575 438100 657150 1314300