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1312480 = 25513631
BaseRepresentation
bin101000000011011100000
32110200101101
411000123200
5313444410
644044144
714104321
oct5003340
92420341
101312480
118170a4
12533654
1336c520
14262448
151add3a
hex1406e0

1312480 has 48 divisors (see below), whose sum is σ = 3344544. Its totient is φ = 483840.

The previous prime is 1312471. The next prime is 1312513. The reversal of 1312480 is 842131.

It is a congruent number.

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, 1765 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (69678).

21312480 is an apocalyptic number.

1312480 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 1312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672272).

1312480 is an abundant number, since it is smaller than the sum of its proper divisors (2032064).

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

1312480 is a wasteful number, since it uses less digits than its factorization.

1312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1312480 is about 1145.6351949901. The cubic root of 1312480 is about 109.4874223650.

It can be divided in two parts, 1 and 312480, that added together give a square (312481 = 5592).

The spelling of 1312480 in words is "one million, three hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 631 1040 1262 2080 2524 3155 5048 6310 8203 10096 12620 16406 20192 25240 32812 41015 50480 65624 82030 100960 131248 164060 262496 328120 656240 1312480