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20766096 = 24321311093
BaseRepresentation
bin100111100110…
…1110110010000
31110002000201200
41033031312100
520304003341
62021031200
7341336361
oct117156620
943060650
1020766096
11107a396a
126b55500
1343c1040
142a87b68
151c52db6
hex13cdd90

20766096 has 60 divisors (see below), whose sum is σ = 62592348. Its totient is φ = 6388992.

The previous prime is 20766073. The next prime is 20766101. The reversal of 20766096 is 69066702.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 10653696 = 3180^2 + 3264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20766096.

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, 3675 + ... + 7418.

Almost surely, 220766096 is an apocalyptic number.

20766096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20766096 is an abundant number, since it is smaller than the sum of its proper divisors (41826252).

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

20766096 is a wasteful number, since it uses less digits than its factorization.

20766096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11111 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20766096 is about 4556.9832126090. The cubic root of 20766096 is about 274.8642680039.

The spelling of 20766096 in words is "twenty million, seven hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 11093 22186 33279 44372 66558 88744 99837 133116 144209 177488 199674 266232 288418 399348 432627 532464 576836 798696 865254 1153672 1297881 1597392 1730508 2307344 2595762 3461016 5191524 6922032 10383048 20766096