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2056725840 = 2435135911173
BaseRepresentation
bin111101010010111…
…0010010101010000
312022100002111110010
41322211302111100
513203010211330
6540030434520
7101652611151
oct17245622520
95270074403
102056725840
11965a71624
12494962a40
1326a148c50
14157223928
15c086a3b0
hex7a972550

2056725840 has 160 divisors (see below), whose sum is σ = 6983303040. Its totient is φ = 497645568.

The previous prime is 2056725833. The next prime is 2056725863. The reversal of 2056725840 is 485276502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178494 + ... + 189666.

It is an arithmetic number, because the mean of its divisors is an integer number (43645644).

Almost surely, 22056725840 is an apocalyptic number.

2056725840 is a gapful number since it is divisible by the number (20) 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 2056725840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491651520).

2056725840 is an abundant number, since it is smaller than the sum of its proper divisors (4926577200).

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

2056725840 is a wasteful number, since it uses less digits than its factorization.

2056725840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2056725840 is about 45351.1393462171. The cubic root of 2056725840 is about 1271.7218548510.

The spelling of 2056725840 in words is "two billion, fifty-six million, seven hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 708 767 780 885 944 1040 1180 1416 1534 1560 1770 2301 2360 2832 3068 3120 3540 3835 4602 4720 6136 7080 7670 9204 11173 11505 12272 14160 15340 18408 22346 23010 30680 33519 36816 44692 46020 55865 61360 67038 89384 92040 111730 134076 145249 167595 178768 184080 223460 268152 290498 335190 435747 446920 536304 580996 659207 670380 726245 871494 893840 1161992 1318414 1340760 1452490 1742988 1977621 2178735 2323984 2636828 2681520 2904980 3296035 3485976 3955242 4357470 5273656 5809960 6592070 6971952 7910484 8569691 8714940 9888105 10547312 11619920 13184140 15820968 17139382 17429880 19776210 25709073 26368280 31641936 34278764 34859760 39552420 42848455 51418146 52736560 68557528 79104840 85696910 102836292 128545365 137115056 158209680 171393820 205672584 257090730 342787640 411345168 514181460 685575280 1028362920 2056725840