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20680296 = 23371317557
BaseRepresentation
bin100111011100…
…0111001101000
31102220200000220
41032320321220
520243232141
62015130040
7340531260
oct116707150
942820026
1020680296
111074545a
126b13920
134390c80
142a647a0
151c37766
hex13b8e68

20680296 has 128 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 5124096.

The previous prime is 20680271. The next prime is 20680333. The reversal of 20680296 is 69208602.

It is a super-3 number, since 3×206802963 (a number of 23 digits) contains 333 as substring.

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, 36850 + ... + 37406.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 220680296 is an apocalyptic number.

20680296 is a gapful number since it is divisible by the number (26) 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 20680296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

20680296 is an abundant number, since it is smaller than the sum of its proper divisors (46815384).

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

20680296 is a wasteful number, since it uses less digits than its factorization.

20680296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 20680296 is about 4547.5593454072. The cubic root of 20680296 is about 274.4851900265.

Adding to 20680296 its reverse (69208602), we get a palindrome (89888898).

The spelling of 20680296 in words is "twenty million, six hundred eighty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 557 663 714 728 884 952 1092 1114 1326 1428 1547 1671 1768 2184 2228 2652 2856 3094 3342 3899 4456 4641 5304 6188 6684 7241 7798 9282 9469 11697 12376 13368 14482 15596 18564 18938 21723 23394 28407 28964 31192 37128 37876 43446 46788 50687 56814 57928 66283 75752 86892 93576 101374 113628 123097 132566 152061 173784 198849 202748 227256 246194 265132 304122 369291 397698 405496 492388 530264 608244 738582 795396 861679 984776 1216488 1477164 1590792 1723358 2585037 2954328 3446716 5170074 6893432 10340148 20680296