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20442114 = 232741143
BaseRepresentation
bin100110111111…
…0110000000010
31102110120022100
41031332300002
520213121424
62010051230
7335520000
oct115766002
942416270
1020442114
11105a2510
126a19b16
134309734
142a01a70
151bdbdc9
hex137ec02

20442114 has 120 divisors (see below), whose sum is σ = 57678192. Its totient is φ = 5186160.

The previous prime is 20442091. The next prime is 20442127. The reversal of 20442114 is 41124402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 475377 + ... + 475419.

Almost surely, 220442114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28839096).

20442114 is an abundant number, since it is smaller than the sum of its proper divisors (37236078).

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

20442114 is a wasteful number, since it uses less digits than its factorization.

20442114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20442114 is about 4521.2956107735. The cubic root of 20442114 is about 273.4273386091.

Adding to 20442114 its reverse (41124402), we get a palindrome (61566516).

The spelling of 20442114 in words is "twenty million, four hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 49 63 66 77 86 98 99 126 129 147 154 198 231 258 294 301 343 387 441 462 473 539 602 686 693 774 882 903 946 1029 1078 1386 1419 1617 1806 2058 2107 2401 2709 2838 3087 3234 3311 3773 4214 4257 4802 4851 5418 6174 6321 6622 7203 7546 8514 9702 9933 11319 12642 14406 14749 18963 19866 21609 22638 23177 26411 29498 29799 33957 37926 43218 44247 46354 52822 59598 67914 69531 79233 88494 103243 132741 139062 158466 162239 206486 208593 237699 265482 309729 324478 417186 475398 486717 619458 929187 973434 1135673 1460151 1858374 2271346 2920302 3407019 6814038 10221057 20442114