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20042112 = 273194167
BaseRepresentation
bin100110001110…
…1000110000000
31101201020121110
41030131012000
520112321422
61553323320
7332232546
oct114350600
941636543
1020042112
1110349a32
126866540
1341c964c
142939d96
151b5d60c
hex131d180

20042112 has 128 divisors (see below), whose sum is σ = 58262400. Its totient is φ = 6082560.

The previous prime is 20042107. The next prime is 20042117. The reversal of 20042112 is 21124002.

It is an interprime number because it is at equal distance from previous prime (20042107) and next prime (20042117).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299103 + ... + 299169.

It is an arithmetic number, because the mean of its divisors is an integer number (455175).

Almost surely, 220042112 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 20042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29131200).

20042112 is an abundant number, since it is smaller than the sum of its proper divisors (38220288).

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

20042112 is a wasteful number, since it uses less digits than its factorization.

20042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20042112 is about 4476.8417439083. The cubic root of 20042112 is about 271.6321440234.

Adding to 20042112 its reverse (21124002), we get a palindrome (41166114).

The spelling of 20042112 in words is "twenty million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 67 76 82 96 114 123 128 134 152 164 192 201 228 246 268 304 328 384 402 456 492 536 608 656 779 804 912 984 1072 1216 1273 1312 1558 1608 1824 1968 2144 2337 2432 2546 2624 2747 3116 3216 3648 3819 3936 4288 4674 5092 5248 5494 6232 6432 7296 7638 7872 8241 8576 9348 10184 10988 12464 12864 15276 15744 16482 18696 20368 21976 24928 25728 30552 32964 37392 40736 43952 49856 52193 61104 65928 74784 81472 87904 99712 104386 122208 131856 149568 156579 162944 175808 208772 244416 263712 299136 313158 351616 417544 488832 527424 626316 835088 1054848 1252632 1670176 2505264 3340352 5010528 6680704 10021056 20042112