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1380712560 = 243523924071
BaseRepresentation
bin101001001001100…
…0000000001110000
310120020001110120020
41102103000001300
510311430300220
6345001243440
746133602023
oct12223000160
93506043506
101380712560
11649415867
12326493580
131900877a6
14d15311ba
1581335040
hex524c0070

1380712560 has 80 divisors (see below), whose sum is σ = 4298296320. Its totient is φ = 366634240.

The previous prime is 1380712559. The next prime is 1380712589. The reversal of 1380712560 is 652170831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45325 + ... + 69395.

It is an arithmetic number, because the mean of its divisors is an integer number (53728704).

Almost surely, 21380712560 is an apocalyptic number.

1380712560 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 1380712560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149148160).

1380712560 is an abundant number, since it is smaller than the sum of its proper divisors (2917583760).

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

1380712560 is a wasteful number, since it uses less digits than its factorization.

1380712560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24326 (or 24320 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1380712560 is about 37157.9407394974. The cubic root of 1380712560 is about 1113.5278714719.

The spelling of 1380712560 in words is "one billion, three hundred eighty million, seven hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 9560 11472 14340 19120 24071 28680 48142 57360 72213 96284 120355 144426 192568 240710 288852 361065 385136 481420 577704 722130 962840 1155408 1444260 1925680 2888520 5752969 5777040 11505938 17258907 23011876 28764845 34517814 46023752 57529690 69035628 86294535 92047504 115059380 138071256 172589070 230118760 276142512 345178140 460237520 690356280 1380712560