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20275024 = 2472112351
BaseRepresentation
bin100110101010…
…1111101010000
31102011002002211
41031111331100
520142300044
62002321504
7334222600
oct115257520
942132084
1020275024
1110498a20
126959294
13427b673
14299ac00
151ba7634
hex1355f50

20275024 has 60 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 7896000.

The previous prime is 20275019. The next prime is 20275049. The reversal of 20275024 is 42057202.

It is a super-2 number, since 2×202750242 = 822153196401152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20274986 and 20275004.

It is a congruent number.

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, 7449 + ... + 9799.

Almost surely, 220275024 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 20275024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

20275024 is an abundant number, since it is smaller than the sum of its proper divisors (29596784).

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

20275024 is a wasteful number, since it uses less digits than its factorization.

20275024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 20275024 is about 4502.7795859891. The cubic root of 20275024 is about 272.6803183273.

The spelling of 20275024 in words is "twenty million, two hundred seventy-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 2351 4312 4702 8624 9404 16457 18808 25861 32914 37616 51722 65828 103444 115199 131656 181027 206888 230398 263312 362054 413776 460796 724108 921592 1267189 1448216 1843184 2534378 2896432 5068756 10137512 20275024