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20424072 = 23317113443
BaseRepresentation
bin100110111101…
…0010110001000
31102102122120010
41031322112020
520212032242
62005431520
7335413254
oct115722610
942378503
1020424072
111058a9a9
126a0b5a0
134301466
1429d9264
151bd689c
hex137a588

20424072 has 64 divisors (see below), whose sum is σ = 54665280. Its totient is φ = 6336512.

The previous prime is 20424067. The next prime is 20424101. The reversal of 20424072 is 27042402.

It is a super-2 number, since 2×204240722 = 834285434122368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45883 + ... + 46325.

It is an arithmetic number, because the mean of its divisors is an integer number (854145).

Almost surely, 220424072 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 20424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332640).

20424072 is an abundant number, since it is smaller than the sum of its proper divisors (34241208).

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

20424072 is a wasteful number, since it uses less digits than its factorization.

20424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 20424072 is about 4519.2999457881. The cubic root of 20424072 is about 273.3468735443.

Adding to 20424072 its reverse (27042402), we get a palindrome (47466474).

The spelling of 20424072 in words is "twenty million, four hundred twenty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 339 408 443 452 678 886 904 1329 1356 1772 1921 2658 2712 3544 3842 5316 5763 7531 7684 10632 11526 15062 15368 22593 23052 30124 45186 46104 50059 60248 90372 100118 150177 180744 200236 300354 400472 600708 851003 1201416 1702006 2553009 3404012 5106018 6808024 10212036 20424072