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20939856 = 2437229307
BaseRepresentation
bin100111111100…
…0010001010000
31110101212002020
41033320101100
520330033411
62024451440
7342662100
oct117702120
943355066
1020939856
1110902473
127019b80
134452162
142ad1200
151c89606
hex13f8450

20939856 has 120 divisors (see below), whose sum is σ = 65308320. Its totient is φ = 5757696.

The previous prime is 20939837. The next prime is 20939857. The reversal of 20939856 is 65893902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939857) 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 23 ways as a sum of consecutive naturals, for example, 68055 + ... + 68361.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 220939856 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 20939856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160).

20939856 is an abundant number, since it is smaller than the sum of its proper divisors (44368464).

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

20939856 is a wasteful number, since it uses less digits than its factorization.

20939856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 20939856 is about 4576.0087412504. The cubic root of 20939856 is about 275.6287804974.

The spelling of 20939856 in words is "twenty million, nine hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 307 336 348 392 406 464 588 609 614 696 784 812 921 1176 1218 1228 1392 1421 1624 1842 2149 2352 2436 2456 2842 3248 3684 4263 4298 4872 4912 5684 6447 7368 8526 8596 8903 9744 11368 12894 14736 15043 17052 17192 17806 22736 25788 26709 30086 34104 34384 35612 45129 51576 53418 60172 62321 68208 71224 90258 103152 106836 120344 124642 142448 180516 186963 213672 240688 249284 361032 373926 427344 436247 498568 722064 747852 872494 997136 1308741 1495704 1744988 2617482 2991408 3489976 5234964 6979952 10469928 20939856