Search a number
-
+
20772624 = 2431922777
BaseRepresentation
bin100111100111…
…1011100010000
31110002100200110
41033033130100
520304210444
62021121320
7341364405
oct117173420
943070613
1020772624
11107a8864
126b59240
1343c3cc2
142a8a2ac
151c54cb9
hex13cf710

20772624 has 40 divisors (see below), whose sum is σ = 56489440. Its totient is φ = 6559488.

The previous prime is 20772607. The next prime is 20772641. The reversal of 20772624 is 42627702.

It is an interprime number because it is at equal distance from previous prime (20772607) and next prime (20772641).

It is a junction number, because it is equal to n+sod(n) for n = 20772591 and 20772600.

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 7 ways as a sum of consecutive naturals, for example, 10477 + ... + 12300.

It is an arithmetic number, because the mean of its divisors is an integer number (1412236).

Almost surely, 220772624 is an apocalyptic number.

20772624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20772624 is an abundant number, since it is smaller than the sum of its proper divisors (35716816).

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

20772624 is a wasteful number, since it uses less digits than its factorization.

20772624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807 (or 22801 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 20772624 is about 4557.6994196634. The cubic root of 20772624 is about 274.8930669647.

The spelling of 20772624 in words is "twenty million, seven hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 22777 45554 68331 91108 136662 182216 273324 364432 432763 546648 865526 1093296 1298289 1731052 2596578 3462104 5193156 6924208 10386312 20772624