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20314112 = 211713109
BaseRepresentation
bin100110101111…
…1100000000000
31102020001201112
41031133200000
520200022422
62003222452
7334444550
oct115374000
942201645
1020314112
1110515325
126977a28
1342933b0
1429ab160
151bb3ee2
hex135f800

20314112 has 96 divisors (see below), whose sum is σ = 50450400. Its totient is φ = 7962624.

The previous prime is 20314081. The next prime is 20314117. The reversal of 20314112 is 21141302.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186314 + ... + 186422.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 220314112 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 20314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25225200).

20314112 is an abundant number, since it is smaller than the sum of its proper divisors (30136288).

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

20314112 is a wasteful number, since it uses less digits than its factorization.

20314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20314112 is about 4507.1179261253. The cubic root of 20314112 is about 272.8554383193.

Adding to 20314112 its reverse (21141302), we get a palindrome (41455414).

The spelling of 20314112 in words is "twenty million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 109 112 128 182 208 218 224 256 364 416 436 448 512 728 763 832 872 896 1024 1417 1456 1526 1664 1744 1792 2048 2834 2912 3052 3328 3488 3584 5668 5824 6104 6656 6976 7168 9919 11336 11648 12208 13312 13952 14336 19838 22672 23296 24416 26624 27904 39676 45344 46592 48832 55808 79352 90688 93184 97664 111616 158704 181376 186368 195328 223232 317408 362752 390656 634816 725504 781312 1269632 1451008 1562624 2539264 2902016 5078528 10157056 20314112