Search a number
-
+
680363712 = 2634718749
BaseRepresentation
bin101000100011011…
…000011011000000
31202102020001120000
4220203120123000
52343133114322
6151302320000
722600665450
oct5043303300
91672201500
10680363712
1131a058366
1216ba29000
13aac556a2
1466505d60
153eae43ac
hex288d86c0

680363712 has 140 divisors (see below), whose sum is σ = 2305050000. Its totient is φ = 194379264.

The previous prime is 680363711. The next prime is 680363741. The reversal of 680363712 is 217363086.

It is a happy number.

680363712 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 637 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (680363711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26914 + ... + 45662.

Almost surely, 2680363712 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 680363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152525000).

680363712 is an abundant number, since it is smaller than the sum of its proper divisors (1624686288).

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

680363712 is a wasteful number, since it uses less digits than its factorization.

680363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18780 (or 18761 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 680363712 is about 26083.7825477824. The cubic root of 680363712 is about 879.5226888121.

The spelling of 680363712 in words is "six hundred eighty million, three hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 18749 36288 37498 56247 74996 112494 131243 149992 168741 224988 262486 299984 337482 393729 449976 506223 524972 599968 674964 787458 899952 1012446 1049944 1181187 1199936 1349928 1518669 1574916 1799904 2024892 2099888 2362374 2699856 3037338 3149832 3543561 3599808 4049784 4199776 4724748 5399712 6074676 6299664 7087122 8099568 8399552 9449496 10630683 10799424 12149352 12599328 14174244 16199136 18898992 21261366 24298704 25198656 28348488 32398272 37797984 42522732 48597408 56696976 75595968 85045464 97194816 113393952 170090928 226787904 340181856 680363712