Search a number
-
+
1413360 = 2432513151
BaseRepresentation
bin101011001000011110000
32122210202200
411121003300
5330211420
650143200
715004404
oct5310360
92583680
101413360
11885973
12581b00
133a6410
1428b104
151cdb90
hex1590f0

1413360 has 120 divisors (see below), whose sum is σ = 5145504. Its totient is φ = 345600.

The previous prime is 1413341. The next prime is 1413361. The reversal of 1413360 is 633141.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9285 + ... + 9435.

21413360 is an apocalyptic number.

1413360 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 1413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572752).

1413360 is an abundant number, since it is smaller than the sum of its proper divisors (3732144).

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

1413360 is a wasteful number, since it uses less digits than its factorization.

1413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1413360 is about 1188.8481820653. The cubic root of 1413360 is about 112.2236178560.

The spelling of 1413360 in words is "one million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 151 156 180 195 208 234 240 260 302 312 360 390 453 468 520 585 604 624 720 755 780 906 936 1040 1170 1208 1359 1510 1560 1812 1872 1963 2265 2340 2416 2718 3020 3120 3624 3926 4530 4680 5436 5889 6040 6795 7248 7852 9060 9360 9815 10872 11778 12080 13590 15704 17667 18120 19630 21744 23556 27180 29445 31408 35334 36240 39260 47112 54360 58890 70668 78520 88335 94224 108720 117780 141336 157040 176670 235560 282672 353340 471120 706680 1413360