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20345052 = 22371331601
BaseRepresentation
bin100110110011…
…1000011011100
31102021122011110
41031213003130
520202020202
62004022020
7334634010
oct115470334
942248143
1020345052
11105365a2
126991910
1342a44c0
1429b8540
151bbd26c
hex13670dc

20345052 has 96 divisors (see below), whose sum is σ = 60411904. Its totient is φ = 5184000.

The previous prime is 20345051. The next prime is 20345069. The reversal of 20345052 is 25054302.

20345052 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×203450522 = 827842281765408, which contains 22 as substring.

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

20345052 is an undulating number in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20345051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33552 + ... + 34152.

Almost surely, 220345052 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 20345052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30205952).

20345052 is an abundant number, since it is smaller than the sum of its proper divisors (40066852).

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

20345052 is a wasteful number, since it uses less digits than its factorization.

20345052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 20345052 is about 4510.5489688063. The cubic root of 20345052 is about 272.9938948574.

Adding to 20345052 its reverse (25054302), we get a palindrome (45399354).

The spelling of 20345052 in words is "twenty million, three hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 601 651 806 868 1092 1202 1209 1302 1612 1803 2404 2418 2604 2821 3606 4207 4836 5642 7212 7813 8414 8463 11284 12621 15626 16828 16926 18631 23439 25242 31252 33852 37262 46878 50484 54691 55893 74524 93756 109382 111786 130417 164073 218764 223572 242203 260834 328146 391251 484406 521668 656292 726609 782502 968812 1453218 1565004 1695421 2906436 3390842 5086263 6781684 10172526 20345052