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20242116 = 22332329281
BaseRepresentation
bin100110100110…
…1111011000100
31102002101222000
41031031323010
520140221431
62001505300
7334024626
oct115157304
942071860
1020242116
1110476224
126942230
1342696ab
14298cc16
151b9c9e6
hex134dec4

20242116 has 96 divisors (see below), whose sum is σ = 56851200. Its totient is φ = 6209280.

The previous prime is 20242111. The next prime is 20242127. The reversal of 20242116 is 61124202.

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

It is not an unprimeable number, because it can be changed into a prime (20242111) 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, 71896 + ... + 72176.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 220242116 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 20242116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28425600).

20242116 is an abundant number, since it is smaller than the sum of its proper divisors (36609084).

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

20242116 is a wasteful number, since it uses less digits than its factorization.

20242116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20242116 is about 4499.1239147194. The cubic root of 20242116 is about 272.5327110523.

Adding to 20242116 its reverse (61124202), we get a palindrome (81366318).

The spelling of 20242116 in words is "twenty million, two hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 207 261 276 281 348 414 522 562 621 667 783 828 843 1044 1124 1242 1334 1566 1686 2001 2484 2529 2668 3132 3372 4002 5058 6003 6463 7587 8004 8149 10116 12006 12926 15174 16298 18009 19389 24012 24447 25852 30348 32596 36018 38778 48894 58167 72036 73341 77556 97788 116334 146682 174501 187427 220023 232668 293364 349002 374854 440046 562281 698004 749708 880092 1124562 1686843 2249124 3373686 5060529 6747372 10121058 20242116