Search a number
-
+
20038053 = 371737241
BaseRepresentation
bin100110001110…
…0000110100101
31101201001001010
41030130012211
520112204203
61553252433
7332214660
oct114340645
941631033
1020038053
1110346982
126864119
1341c7849
1429386d7
151b5c303
hex131c1a5

20038053 has 48 divisors (see below), whose sum is σ = 34038144. Its totient is φ = 10229760.

The previous prime is 20038049. The next prime is 20038061. The reversal of 20038053 is 35083002.

It is not a de Polignac number, because 20038053 - 22 = 20038049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20038253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488713 + ... + 488753.

It is an arithmetic number, because the mean of its divisors is an integer number (709128).

Almost surely, 220038053 is an apocalyptic number.

It is an amenable number.

20038053 is a deficient number, since it is larger than the sum of its proper divisors (14000091).

20038053 is a wasteful number, since it uses less digits than its factorization.

20038053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20038053 is about 4476.3883879753. The cubic root of 20038053 is about 271.6138054818.

The spelling of 20038053 in words is "twenty million, thirty-eight thousand, fifty-three".

Divisors: 1 3 7 17 21 37 41 51 111 119 123 259 287 357 629 697 777 861 1369 1517 1887 2091 4107 4403 4551 4879 9583 10619 13209 14637 23273 25789 28749 31857 56129 69819 77367 162911 168387 180523 392903 488733 541569 954193 1178709 2862579 6679351 20038053