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20752676 = 2272113937
BaseRepresentation
bin100111100101…
…0100100100100
31110001100022122
41033022210210
520303041201
62020445112
7341252300
oct117124444
943040278
1020752676
111079487a
126b49798
1343b7bb9
142a82d00
151c4de1b
hex13ca924

20752676 has 36 divisors (see below), whose sum is σ = 42665868. Its totient is φ = 8805888.

The previous prime is 20752663. The next prime is 20752681. The reversal of 20752676 is 67625702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 682276 + 20070400 = 826^2 + 4480^2 .

It is a super-2 number, since 2×207526762 = 861347122321952, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 21680 + ... + 22616.

It is an arithmetic number, because the mean of its divisors is an integer number (1185163).

Almost surely, 220752676 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 20752676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332934).

20752676 is an abundant number, since it is smaller than the sum of its proper divisors (21913192).

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

20752676 is a wasteful number, since it uses less digits than its factorization.

20752676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 20752676 is about 4555.5105092624. The cubic root of 20752676 is about 274.8050452952.

The spelling of 20752676 in words is "twenty million, seven hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 937 1582 1874 3164 3748 5537 6559 11074 13118 22148 26236 45913 91826 105881 183652 211762 423524 741167 1482334 2964668 5188169 10376338 20752676