Search a number
-
+
20293472 = 2547103131
BaseRepresentation
bin100110101101…
…0011101100000
31102012000102002
41031122131200
520143342342
62002543132
7334330433
oct115323540
942160362
1020293472
1110500871
126967aa8
134286b94
1429a381a
151bacd32
hex135a760

20293472 has 48 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 9759360.

The previous prime is 20293459. The next prime is 20293477. The reversal of 20293472 is 27439202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20293477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154847 + ... + 154977.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 220293472 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 20293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

20293472 is an abundant number, since it is smaller than the sum of its proper divisors (21220000).

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

20293472 is a wasteful number, since it uses less digits than its factorization.

20293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 20293472 is about 4504.8276326625. The cubic root of 20293472 is about 272.7629961017.

The spelling of 20293472 in words is "twenty million, two hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 94 103 131 188 206 262 376 412 524 752 824 1048 1504 1648 2096 3296 4192 4841 6157 9682 12314 13493 19364 24628 26986 38728 49256 53972 77456 98512 107944 154912 197024 215888 431776 634171 1268342 2536684 5073368 10146736 20293472