Search a number
-
+
20763652 = 22721329281
BaseRepresentation
bin100111100110…
…1010000000100
31110001220101011
41033031100010
520303414102
62021012004
7341326300
oct117152004
943056334
1020763652
11107a2048
126b54004
1343bcbb0
142a86d00
151c522d7
hex13cd404

20763652 has 72 divisors (see below), whose sum is σ = 47257560. Its totient is φ = 7902720.

The previous prime is 20763601. The next prime is 20763661. The reversal of 20763652 is 25636702.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 18957316 = 1344^2 + 4354^2 .

It is a super-2 number, since 2×207636522 = 862258488754208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73752 + ... + 74032.

It is an arithmetic number, because the mean of its divisors is an integer number (656355).

Almost surely, 220763652 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 20763652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628780).

20763652 is an abundant number, since it is smaller than the sum of its proper divisors (26493908).

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

20763652 is a wasteful number, since it uses less digits than its factorization.

20763652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 20763652 is about 4556.7150448541. The cubic root of 20763652 is about 274.8534844872.

The spelling of 20763652 in words is "twenty million, seven hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 281 364 377 406 562 637 754 812 1124 1274 1421 1508 1967 2548 2639 2842 3653 3934 5278 5684 7306 7868 8149 10556 13769 14612 16298 18473 25571 27538 32596 36946 51142 55076 57043 73892 102284 105937 114086 178997 211874 228172 357994 399301 423748 715988 741559 798602 1483118 1597204 2966236 5190913 10381826 20763652