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684273920 = 28511232113
BaseRepresentation
bin101000110010010…
…011000100000000
31202200120201100112
4220302103010000
52400133231140
6151522210452
722646142461
oct5062230400
91680521315
10684273920
11321289140
121711b3a28
13ab9c4415
1466c42d68
1540117c65
hex28c93100

684273920 has 144 divisors (see below), whose sum is σ = 1866678912. Its totient is φ = 237895680.

The previous prime is 684273899. The next prime is 684273977. The reversal of 684273920 is 29372486.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322784 + ... + 324896.

It is an arithmetic number, because the mean of its divisors is an integer number (12963048).

Almost surely, 2684273920 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 684273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933339456).

684273920 is an abundant number, since it is smaller than the sum of its proper divisors (1182404992).

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

684273920 is a wasteful number, since it uses less digits than its factorization.

684273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 684273920 is about 26158.6299335420. The cubic root of 684273920 is about 881.2044114371.

The spelling of 684273920 in words is "six hundred eighty-four million, two hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2113 2530 2816 2944 3520 3680 4048 4226 5060 5888 7040 7360 8096 8452 10120 10565 14080 14720 16192 16904 20240 21130 23243 29440 32384 33808 40480 42260 46486 48599 64768 67616 80960 84520 92972 97198 116215 135232 161920 169040 185944 194396 232430 242995 270464 323840 338080 371888 388792 464860 485990 534589 540928 676160 743776 777584 929720 971980 1069178 1352320 1487552 1555168 1859440 1943960 2138356 2672945 2704640 2975104 3110336 3718880 3887920 4276712 5345890 5950208 6220672 7437760 7775840 8553424 10691780 12441344 14875520 15551680 17106848 21383560 29751040 31103360 34213696 42767120 62206720 68427392 85534240 136854784 171068480 342136960 684273920