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560401240 = 235721372087
BaseRepresentation
bin100001011001110…
…000101101011000
31110001111022222111
4201121300231120
52121430314430
6131335202104
716613221600
oct4131605530
91401438874
10560401240
11268371823
12137816334
138c142889
14545d9c00
15342e9c2a
hex21670b58

560401240 has 96 divisors (see below), whose sum is σ = 1478178720. Its totient is φ = 190643712.

The previous prime is 560401213. The next prime is 560401319. The reversal of 560401240 is 42104065.

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, 267477 + ... + 269563.

It is an arithmetic number, because the mean of its divisors is an integer number (15397695).

Almost surely, 2560401240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739089360).

560401240 is an abundant number, since it is smaller than the sum of its proper divisors (917777480).

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

560401240 is a wasteful number, since it uses less digits than its factorization.

560401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 560401240 is about 23672.7953566958. The cubic root of 560401240 is about 824.4538730248.

The spelling of 560401240 in words is "five hundred sixty million, four hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 137 140 196 245 274 280 392 490 548 685 959 980 1096 1370 1918 1960 2087 2740 3836 4174 4795 5480 6713 7672 8348 9590 10435 13426 14609 16696 19180 20870 26852 29218 33565 38360 41740 53704 58436 67130 73045 83480 102263 116872 134260 146090 204526 268520 285919 292180 409052 511315 571838 584360 818104 1022630 1143676 1429595 2001433 2045260 2287352 2859190 4002866 4090520 5718380 8005732 10007165 11436760 14010031 16011464 20014330 28020062 40028660 56040124 70050155 80057320 112080248 140100310 280200620 560401240