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1689684080 = 2457107163173
BaseRepresentation
bin110010010110110…
…1000100001110000
311100202102211210212
41210231220201300
511430024342310
6435355443252
756605035440
oct14455504160
94322384725
101689684080
11797867727
123b1a56528
1320c0a6c86
1412059c120
159d517205
hex64b68870

1689684080 has 160 divisors (see below), whose sum is σ = 4585849344. Its totient is φ = 567088128.

The previous prime is 1689684071. The next prime is 1689684131. The reversal of 1689684080 is 804869861.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 9766874 + ... + 9767046.

Almost surely, 21689684080 is an apocalyptic number.

1689684080 is a gapful number since it is divisible by the number (10) 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 1689684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292924672).

1689684080 is an abundant number, since it is smaller than the sum of its proper divisors (2896165264).

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

1689684080 is a wasteful number, since it uses less digits than its factorization.

1689684080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 1689684080 is about 41105.7669919927. The cubic root of 1689684080 is about 1191.0641987858.

The spelling of 1689684080 in words is "one billion, six hundred eighty-nine million, six hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 163 173 214 280 326 346 428 535 560 652 692 749 815 856 865 1070 1141 1211 1304 1384 1498 1630 1712 1730 2140 2282 2422 2608 2768 2996 3260 3460 3745 4280 4564 4844 5705 5992 6055 6520 6920 7490 8560 9128 9688 11410 11984 12110 13040 13840 14980 17441 18256 18511 19376 22820 24220 28199 29960 34882 37022 45640 48440 56398 59920 69764 74044 87205 91280 92555 96880 112796 122087 129577 139528 140995 148088 174410 185110 197393 225592 244174 259154 279056 281990 296176 348820 370220 394786 451184 488348 518308 563980 610435 647885 697640 740440 789572 976696 986965 1036616 1127960 1220870 1295770 1395280 1480880 1579144 1953392 1973930 2073232 2255920 2441740 2591540 3017293 3158288 3947860 4883480 5183080 6034586 7895720 9766960 10366160 12069172 15086465 15791440 21121051 24138344 30172930 42242102 48276688 60345860 84484204 105605255 120691720 168968408 211210510 241383440 337936816 422421020 844842040 1689684080