Search a number
-
+
680543682 = 237133121297
BaseRepresentation
bin101000100100000…
…100010111000010
31202102120012102120
4220210010113002
52343204344212
6151310225110
722602345240
oct5044042702
91672505376
10680543682
1131a1705a5
1216bab5196
13aacb9590
1466551790
153eb2c88c
hex289045c2

680543682 has 96 divisors (see below), whose sum is σ = 1732300416. Its totient is φ = 173560320.

The previous prime is 680543663. The next prime is 680543737. The reversal of 680543682 is 286345086.

It is a super-2 number, since 2×6805436822 = 926279406220234248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524058 + ... + 525354.

It is an arithmetic number, because the mean of its divisors is an integer number (18044796).

Almost surely, 2680543682 is an apocalyptic number.

680543682 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 680543682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866150208).

680543682 is an abundant number, since it is smaller than the sum of its proper divisors (1051756734).

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

680543682 is a wasteful number, since it uses less digits than its factorization.

680543682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 680543682 is about 26087.2321644133. The cubic root of 680543682 is about 879.6002325046.

The spelling of 680543682 in words is "six hundred eighty million, five hundred forty-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 961 1209 1297 1302 1922 2418 2594 2821 2883 3891 5642 5766 6727 7782 8463 9079 12493 13454 16861 16926 18158 20181 24986 27237 33722 37479 40207 40362 50583 54474 74958 80414 87451 101166 118027 120621 174902 236054 241242 262353 281449 354081 522691 524706 562898 708162 844347 1045382 1246417 1568073 1688694 2492834 3136146 3658837 3739251 7317674 7478502 8724919 10976511 16203421 17449838 21953022 26174757 32406842 48610263 52349514 97220526 113423947 226847894 340271841 680543682