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20053072 = 2413229421
BaseRepresentation
bin100110001111…
…1110001010000
31101201210122101
41030133301100
520113144242
61553450144
7332306524
oct114376120
941653571
1020053072
1110357196
126870954
134201630
14293dd84
151b619b7
hex131fc50

20053072 has 40 divisors (see below), whose sum is σ = 42124040. Its totient is φ = 9192960.

The previous prime is 20053043. The next prime is 20053091. The reversal of 20053072 is 27035002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 19855936 = 444^2 + 4456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47422 + ... + 47842.

It is an arithmetic number, because the mean of its divisors is an integer number (1053101).

Almost surely, 220053072 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 20053072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062020).

20053072 is an abundant number, since it is smaller than the sum of its proper divisors (22070968).

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

20053072 is a wasteful number, since it uses less digits than its factorization.

20053072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 20053072 is about 4478.0656538287. The cubic root of 20053072 is about 271.6816488825.

Adding to 20053072 its reverse (27035002), we get a palindrome (47088074).

The spelling of 20053072 in words is "twenty million, fifty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 421 458 842 916 1684 1832 2977 3368 3664 5473 5954 6736 10946 11908 21892 23816 43784 47632 87568 96409 192818 385636 771272 1253317 1542544 2506634 5013268 10026536 20053072