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20413512 = 2333723587
BaseRepresentation
bin100110111011…
…1110001001000
31102102010002000
41031313301020
520211213022
62005311000
7335340420
oct115676110
942363060
1020413512
1110582a79
126a05460
1342c9702
1429d5480
151bd36ac
hex1377c48

20413512 has 128 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 5569344.

The previous prime is 20413511. The next prime is 20413537. The reversal of 20413512 is 21531402.

It is a super-2 number, since 2×204135122 = 833422944348288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413511) 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, 34483 + ... + 35069.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 220413512 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 20413512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

20413512 is an abundant number, since it is smaller than the sum of its proper divisors (47324088).

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

20413512 is a wasteful number, since it uses less digits than its factorization.

20413512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20413512 is about 4518.1314721907. The cubic root of 20413512 is about 273.2997552777.

Adding to 20413512 its reverse (21531402), we get a palindrome (41944914).

The spelling of 20413512 in words is "twenty million, four hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 587 621 644 756 828 966 1174 1242 1288 1449 1512 1656 1761 1932 2348 2484 2898 3522 3864 4109 4347 4696 4968 5283 5796 7044 8218 8694 10566 11592 12327 13501 14088 15849 16436 17388 21132 24654 27002 31698 32872 34776 36981 40503 42264 49308 54004 63396 73962 81006 94507 98616 108008 110943 121509 126792 147924 162012 189014 221886 243018 283521 295848 324024 364527 378028 443772 486036 567042 729054 756056 850563 887544 972072 1134084 1458108 1701126 2268168 2551689 2916216 3402252 5103378 6804504 10206756 20413512