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20777796 = 2234134933
BaseRepresentation
bin100111101000…
…0101101000100
31110002121210000
41033100231010
520304342141
62021201300
7341415444
oct117205504
943077700
1020777796
1110801736
126b60230
1343c6470
142a8c124
151c565b6
hex13d0b44

20777796 has 60 divisors (see below), whose sum is σ = 58507372. Its totient is φ = 6391872.

The previous prime is 20777777. The next prime is 20777797. The reversal of 20777796 is 69777702.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 16112196 = 2160^2 + 4014^2 .

It is not an unprimeable number, because it can be changed into a prime (20777797) 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 19 ways as a sum of consecutive naturals, for example, 1746 + ... + 6678.

Almost surely, 220777796 is an apocalyptic number.

20777796 is a gapful number since it is divisible by the number (26) 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 20777796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29253686).

20777796 is an abundant number, since it is smaller than the sum of its proper divisors (37729576).

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

20777796 is a wasteful number, since it uses less digits than its factorization.

20777796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 20777796 is about 4558.2667758700. The cubic root of 20777796 is about 274.9158795049.

The spelling of 20777796 in words is "twenty million, seven hundred seventy-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 4933 9866 14799 19732 29598 44397 59196 64129 88794 128258 133191 177588 192387 256516 266382 384774 399573 532764 577161 769548 799146 1154322 1598292 1731483 2308644 3462966 5194449 6925932 10388898 20777796