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20776728 = 23371923283
BaseRepresentation
bin100111101000…
…0011100011000
31110002120022110
41033100130120
520304323403
62021152320
7341412360
oct117203430
943076273
1020776728
1110800955
126b5b6a0
1343c5b2b
142a8b9a0
151c56103
hex13d0718

20776728 has 128 divisors (see below), whose sum is σ = 65433600. Its totient is φ = 5360256.

The previous prime is 20776711. The next prime is 20776739. The reversal of 20776728 is 82767702.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73275 + ... + 73557.

It is an arithmetic number, because the mean of its divisors is an integer number (511200).

Almost surely, 220776728 is an apocalyptic number.

20776728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20776728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32716800).

20776728 is an abundant number, since it is smaller than the sum of its proper divisors (44656872).

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

20776728 is a wasteful number, since it uses less digits than its factorization.

20776728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 20776728 is about 4558.1496245736. The cubic root of 20776728 is about 274.9111691049.

The spelling of 20776728 in words is "twenty million, seven hundred seventy-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 184 228 266 276 283 322 399 437 456 483 532 552 566 644 798 849 874 966 1064 1132 1288 1311 1596 1698 1748 1932 1981 2264 2622 3059 3192 3396 3496 3864 3962 5244 5377 5943 6118 6509 6792 7924 9177 10488 10754 11886 12236 13018 15848 16131 18354 19527 21508 23772 24472 26036 32262 36708 37639 39054 43016 45563 47544 52072 64524 73416 75278 78108 91126 112917 123671 129048 136689 150556 156216 182252 225834 247342 273378 301112 364504 371013 451668 494684 546756 742026 865697 903336 989368 1093512 1484052 1731394 2597091 2968104 3462788 5194182 6925576 10388364 20776728