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20939776 = 210112132
BaseRepresentation
bin100111111100…
…0010000000000
31110101211222021
41033320100000
520330033101
62024451224
7342661624
oct117702000
943354867
1020939776
1110902400
127019b14
134452100
142ad1184
151c895a1
hex13f8400

20939776 has 99 divisors (see below), whose sum is σ = 49821933. Its totient is φ = 8785920.

The previous prime is 20939771. The next prime is 20939783. The reversal of 20939776 is 67793902.

The square root of 20939776 is 4576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3097600 + 17842176 = 1760^2 + 4224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20939771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1610746 + ... + 1610758.

Almost surely, 220939776 is an apocalyptic number.

20939776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20939776 is the 4576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20939776

20939776 is an abundant number, since it is smaller than the sum of its proper divisors (28882157).

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

20939776 is a wasteful number, since it uses less digits than its factorization.

20939776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The cubic root of 20939776 is about 275.6284294869.

Multiplying 20939776 by its product of nonzero digits (142884), we get a square (2991958953984 = 17297282).

The spelling of 20939776 in words is "twenty million, nine hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 169 176 208 242 256 286 338 352 416 484 512 572 676 704 832 968 1024 1144 1352 1408 1573 1664 1859 1936 2288 2704 2816 3146 3328 3718 3872 4576 5408 5632 6292 6656 7436 7744 9152 10816 11264 12584 13312 14872 15488 18304 20449 21632 25168 29744 30976 36608 40898 43264 50336 59488 61952 73216 81796 86528 100672 118976 123904 146432 163592 173056 201344 237952 327184 402688 475904 654368 805376 951808 1308736 1610752 1903616 2617472 5234944 10469888 20939776