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1513980 = 2232513647
BaseRepresentation
bin101110001100111111100
32211220210100
411301213330
5341421410
652241100
715603636
oct5614774
92756710
101513980
11944526
12610190
13410160
142b5a56
151ed8c0
hex1719fc

1513980 has 72 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 372096.

The previous prime is 1513973. The next prime is 1513991. The reversal of 1513980 is 893151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

21513980 is an apocalyptic number.

1513980 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 1513980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1513980 is an abundant number, since it is smaller than the sum of its proper divisors (3439332).

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

1513980 is a wasteful number, since it uses less digits than its factorization.

1513980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1513980 is about 1230.4389460676. The cubic root of 1513980 is about 114.8259496915.

Subtracting from 1513980 its product of nonzero digits (1080), we obtain a square (1512900 = 12302).

The spelling of 1513980 in words is "one million, five hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 647 780 1170 1294 1941 2340 2588 3235 3882 5823 6470 7764 8411 9705 11646 12940 16822 19410 23292 25233 29115 33644 38820 42055 50466 58230 75699 84110 100932 116460 126165 151398 168220 252330 302796 378495 504660 756990 1513980