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20680192 = 29132239
BaseRepresentation
bin100111011100…
…0111000000000
31102220122220001
41032320320000
520243231232
62015125344
7340531051
oct116707000
942818801
1020680192
1110745375
126b13854
134390c00
142a64728
151c376e7
hex13b8e00

20680192 has 60 divisors (see below), whose sum is σ = 44930160. Its totient is φ = 9504768.

The previous prime is 20680183. The next prime is 20680199. The reversal of 20680192 is 29108602.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20680192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20680199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86409 + ... + 86647.

It is an arithmetic number, because the mean of its divisors is an integer number (748836).

Almost surely, 220680192 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 20680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465080).

20680192 is an abundant number, since it is smaller than the sum of its proper divisors (24249968).

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

20680192 is an equidigital number, since it uses as much as digits as its factorization.

20680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 20680192 is about 4547.5479106877. The cubic root of 20680192 is about 274.4847299024.

Adding to 20680192 its reverse (29108602), we get a palindrome (49788794).

The spelling of 20680192 in words is "twenty million, six hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 239 256 338 416 478 512 676 832 956 1352 1664 1912 2704 3107 3328 3824 5408 6214 6656 7648 10816 12428 15296 21632 24856 30592 40391 43264 49712 61184 80782 86528 99424 122368 161564 198848 323128 397696 646256 795392 1292512 1590784 2585024 5170048 10340096 20680192