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199780680 = 233511213759
BaseRepresentation
bin10111110100001…
…10100101001000
3111220220220120110
423322012211020
5402120440210
631453554320
74644051651
oct1372064510
9456826513
10199780680
11a2853200
1256aa59a0
133250b528
141c766528
1512814420
hexbe86948

199780680 has 96 divisors (see below), whose sum is σ = 658828800. Its totient is φ = 48428160.

The previous prime is 199780631. The next prime is 199780697. The reversal of 199780680 is 86087991.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 7641 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (6862800).

Almost surely, 2199780680 is an apocalyptic number.

199780680 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 199780680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329414400).

199780680 is an abundant number, since it is smaller than the sum of its proper divisors (459048120).

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

199780680 is a wasteful number, since it uses less digits than its factorization.

199780680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13795 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 199780680 is about 14134.3793638065. The cubic root of 199780680 is about 584.5897042665.

The spelling of 199780680 in words is "one hundred ninety-nine million, seven hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 13759 14520 27518 41277 55036 68795 82554 110072 137590 151349 165108 206385 275180 302698 330216 412770 454047 550360 605396 756745 825540 908094 1210792 1513490 1651080 1664839 1816188 2270235 3026980 3329678 3632376 4540470 4994517 6053960 6659356 8324195 9080940 9989034 13318712 16648390 18161880 19978068 24972585 33296780 39956136 49945170 66593560 99890340 199780680