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20772976 = 247312193
BaseRepresentation
bin100111100111…
…1100001110000
31110002101011111
41033033201300
520304213401
62021123104
7341365420
oct117174160
943071144
1020772976
11107a9054
126b59494
1343c4203
142a8a480
151c54e51
hex13cf870

20772976 has 60 divisors (see below), whose sum is σ = 47775216. Its totient is φ = 8570880.

The previous prime is 20772949. The next prime is 20773043. The reversal of 20772976 is 67927702.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 107536 + ... + 107728.

Almost surely, 220772976 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 20772976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887608).

20772976 is an abundant number, since it is smaller than the sum of its proper divisors (27002240).

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

20772976 is a wasteful number, since it uses less digits than its factorization.

20772976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 20772976 is about 4557.7380354733. The cubic root of 20772976 is about 274.8946196784.

The spelling of 20772976 in words is "twenty million, seven hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 193 217 248 386 434 496 772 868 961 1351 1544 1736 1922 2702 3088 3472 3844 5404 5983 6727 7688 10808 11966 13454 15376 21616 23932 26908 41881 47864 53816 83762 95728 107632 167524 185473 335048 370946 670096 741892 1298311 1483784 2596622 2967568 5193244 10386488 20772976