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1405014520 = 235713894337
BaseRepresentation
bin101001110111110…
…1101000111111000
310121220210010120211
41103233231013320
510334140431040
6351230200504
746550266150
oct12357550770
93556703524
101405014520
11661104228
12332653134
13195116050
14d4859760
15835358ea
hex53bed1f8

1405014520 has 128 divisors (see below), whose sum is σ = 3935433600. Its totient is φ = 439566336.

The previous prime is 1405014493. The next prime is 1405014529. The reversal of 1405014520 is 254105041.

It is a junction number, because it is equal to n+sod(n) for n = 1405014491 and 1405014500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405014529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321792 + ... + 326128.

It is an arithmetic number, because the mean of its divisors is an integer number (30745575).

Almost surely, 21405014520 is an apocalyptic number.

1405014520 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 1405014520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967716800).

1405014520 is an abundant number, since it is smaller than the sum of its proper divisors (2530419080).

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

1405014520 is a wasteful number, since it uses less digits than its factorization.

1405014520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1405014520 is about 37483.5233135841. The cubic root of 1405014520 is about 1120.0229905995.

Adding to 1405014520 its reverse (254105041), we get a palindrome (1659119561).

The spelling of 1405014520 in words is "one billion, four hundred five million, fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 89 91 104 130 140 178 182 260 280 356 364 445 455 520 623 712 728 890 910 1157 1246 1780 1820 2314 2492 3115 3560 3640 4337 4628 4984 5785 6230 8099 8674 9256 11570 12460 16198 17348 21685 23140 24920 30359 32396 34696 40495 43370 46280 56381 60718 64792 80990 86740 112762 121436 151795 161980 173480 225524 242872 281905 303590 323960 385993 394667 451048 563810 607180 771986 789334 1127620 1214360 1543972 1578668 1929965 1973335 2255240 2701951 3087944 3157336 3859930 3946670 5017909 5403902 7719860 7893340 10035818 10807804 13509755 15439720 15786680 20071636 21615608 25089545 27019510 35125363 40143272 50179090 54039020 70250726 100358180 108078040 140501452 175626815 200716360 281002904 351253630 702507260 1405014520