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5809905720 = 2332517255843
BaseRepresentation
bin1010110100100110…
…00010000000111000
3112222220100210100100
411122103002000320
543344313440340
62400302235400
7263655245433
oct53223020070
915886323310
105809905720
1125115a4183
121161885b60
1371789c448
143d188881a
152400d8830
hex15a4c2038

5809905720 has 144 divisors (see below), whose sum is σ = 20058606360. Its totient is φ = 1458146304.

The previous prime is 5809905691. The next prime is 5809905757. The reversal of 5809905720 is 275099085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76119 + ... + 131961.

Almost surely, 25809905720 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 5809905720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029303180).

5809905720 is an abundant number, since it is smaller than the sum of its proper divisors (14248700640).

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

5809905720 is a wasteful number, since it uses less digits than its factorization.

5809905720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55894 (or 55870 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5809905720 is about 76222.7375525178. The cubic root of 5809905720 is about 1797.7240493882.

The spelling of 5809905720 in words is "five billion, eight hundred nine million, nine hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 408 510 578 612 680 765 867 1020 1156 1224 1445 1530 1734 2040 2312 2601 2890 3060 3468 4335 5202 5780 6120 6936 8670 10404 11560 13005 17340 20808 26010 34680 52020 55843 104040 111686 167529 223372 279215 335058 446744 502587 558430 670116 837645 949331 1005174 1116860 1340232 1675290 1898662 2010348 2233720 2512935 2847993 3350580 3797324 4020696 4746655 5025870 5695986 6701160 7594648 8543979 9493310 10051740 11391972 14239965 16138627 17087958 18986620 20103480 22783944 28479930 32277254 34175916 37973240 42719895 48415881 56959860 64554508 68351832 80693135 85439790 96831762 113919720 129109016 145247643 161386270 170879580 193663524 242079405 290495286 322772540 341759160 387327048 484158810 580990572 645545080 726238215 968317620 1161981144 1452476430 1936635240 2904952860 5809905720