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20339856 = 2433197239
BaseRepresentation
bin100110110010…
…1110010010000
31102021101001000
41031211302100
520201333411
62003542000
7334612605
oct115456220
942241030
1020339856
11105326a9
12698a900
1342a2024
1429b66ac
151bbb956
hex1365c90

20339856 has 80 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 6717312.

The previous prime is 20339849. The next prime is 20339857. The reversal of 20339856 is 65893302.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20339856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20339857) 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 15 ways as a sum of consecutive naturals, for example, 84985 + ... + 85223.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 220339856 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 20339856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

20339856 is an abundant number, since it is smaller than the sum of its proper divisors (38584944).

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

20339856 is a wasteful number, since it uses less digits than its factorization.

20339856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20339856 is about 4509.9729489211. The cubic root of 20339856 is about 272.9706525632.

The spelling of 20339856 in words is "twenty million, three hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 239 394 432 478 591 717 788 956 1182 1434 1576 1773 1912 2151 2364 2868 3152 3546 3824 4302 4728 5319 5736 6453 7092 8604 9456 10638 11472 12906 14184 17208 21276 25812 28368 34416 42552 47083 51624 85104 94166 103248 141249 188332 282498 376664 423747 564996 753328 847494 1129992 1271241 1694988 2259984 2542482 3389976 5084964 6779952 10169928 20339856