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2050000560 = 243254216763
BaseRepresentation
bin111101000110000…
…1000011010110000
312021212102211002200
41322030020122300
513144300004220
6535230343200
7101541501006
oct17214103260
95255384080
102050000560
11962198843
1249265ab00
13268932aaa
14156392a76
15bee8c890
hex7a3086b0

2050000560 has 120 divisors (see below), whose sum is σ = 6901958544. Its totient is φ = 545287680.

The previous prime is 2050000553. The next prime is 2050000609. The reversal of 2050000560 is 650000502.

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 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, 299739 + ... + 306501.

Almost surely, 22050000560 is an apocalyptic number.

2050000560 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 2050000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450979272).

2050000560 is an abundant number, since it is smaller than the sum of its proper divisors (4851957984).

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

2050000560 is a wasteful number, since it uses less digits than its factorization.

2050000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2050000560 is about 45276.9318748521. The cubic root of 2050000560 is about 1270.3342084452.

The spelling of 2050000560 in words is "two billion, fifty million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 421 720 842 1263 1684 2105 2526 3368 3789 4210 5052 6315 6736 6763 7578 8420 10104 12630 13526 15156 16840 18945 20208 20289 25260 27052 30312 33680 33815 37890 40578 50520 54104 60624 60867 67630 75780 81156 101040 101445 108208 121734 135260 151560 162312 202890 243468 270520 303120 304335 324624 405780 486936 541040 608670 811560 973872 1217340 1623120 2434680 2847223 4869360 5694446 8541669 11388892 14236115 17083338 22777784 25625007 28472230 34166676 42708345 45555568 51250014 56944460 68333352 85416690 102500028 113888920 128125035 136666704 170833380 205000056 227777840 256250070 341666760 410000112 512500140 683333520 1025000280 2050000560