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1312380 = 2232523317
BaseRepresentation
bin101000000011001111100
32110200020200
411000121330
5313444010
644043500
714104116
oct5003174
92420220
101312380
11817013
12533590
1336c474
142623b6
151adcc0
hex14067c

1312380 has 72 divisors (see below), whose sum is σ = 4167072. Its totient is φ = 333696.

The previous prime is 1312379. The next prime is 1312391. The reversal of 1312380 is 832131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982 + ... + 4298.

It is an arithmetic number, because the mean of its divisors is an integer number (57876).

21312380 is an apocalyptic number.

1312380 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 1312380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083536).

1312380 is an abundant number, since it is smaller than the sum of its proper divisors (2854692).

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

1312380 is a wasteful number, since it uses less digits than its factorization.

1312380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1312380 is about 1145.5915502482. The cubic root of 1312380 is about 109.4846416190.

Subtracting from 1312380 its reverse (832131), we obtain a square (480249 = 6932).

It can be divided in two parts, 13123 and 80, that added together give a triangular number (13203 = T162).

The spelling of 1312380 in words is "one million, three hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 317 345 414 460 634 690 828 951 1035 1268 1380 1585 1902 2070 2853 3170 3804 4140 4755 5706 6340 7291 9510 11412 14265 14582 19020 21873 28530 29164 36455 43746 57060 65619 72910 87492 109365 131238 145820 218730 262476 328095 437460 656190 1312380