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20413312 = 271011579
BaseRepresentation
bin100110111011…
…1101110000000
31102102002210121
41031313232000
520211211222
62005310024
7335340013
oct115675600
942362717
1020413312
1110582907
126a05314
1342c95aa
1429d537a
151bd35c7
hex1377b80

20413312 has 32 divisors (see below), whose sum is σ = 41095800. Its totient is φ = 10099200.

The previous prime is 20413291. The next prime is 20413331. The reversal of 20413312 is 21331402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12139 + ... + 13717.

Almost surely, 220413312 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 20413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547900).

20413312 is an abundant number, since it is smaller than the sum of its proper divisors (20682488).

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

20413312 is a wasteful number, since it uses less digits than its factorization.

20413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20413312 is about 4518.1093390931. The cubic root of 20413312 is about 273.2988627295.

Adding to 20413312 its reverse (21331402), we get a palindrome (41744714).

The spelling of 20413312 in words is "twenty million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1579 1616 3158 3232 6316 6464 12632 12928 25264 50528 101056 159479 202112 318958 637916 1275832 2551664 5103328 10206656 20413312