Search a number
-
+
682031120 = 245163193271
BaseRepresentation
bin101000101001101…
…111100000010000
31202112100202210212
4220221233200100
52344044443440
6151402143252
722621111631
oct5051574020
91675322725
10682031120
1131aa97091
121704b1b28
13ab3ba614
146681b888
153ed23465
hex28a6f810

682031120 has 80 divisors (see below), whose sum is σ = 1609635072. Its totient is φ = 268738560.

The previous prime is 682031107. The next prime is 682031137. The reversal of 682031120 is 21130286.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2516585 + ... + 2516855.

Almost surely, 2682031120 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 682031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804817536).

682031120 is an abundant number, since it is smaller than the sum of its proper divisors (927603952).

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

682031120 is a wasteful number, since it uses less digits than its factorization.

682031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 682031120 is about 26115.7255307985. The cubic root of 682031120 is about 880.2406022546.

The spelling of 682031120 in words is "six hundred eighty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 193 271 326 386 542 652 772 815 965 1084 1304 1355 1544 1630 1930 2168 2608 2710 3088 3260 3860 4336 5420 6520 7720 10840 13040 15440 21680 31459 44173 52303 62918 88346 104606 125836 157295 176692 209212 220865 251672 261515 314590 353384 418424 441730 503344 523030 629180 706768 836848 883460 1046060 1258360 1766920 2092120 2516720 3533840 4184240 8525389 17050778 34101556 42626945 68203112 85253890 136406224 170507780 341015560 682031120