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20027112 = 2337237173
BaseRepresentation
bin100110001100…
…1011011101000
31101200111000220
41030121123220
520111331422
61553130040
7332141040
oct114313350
941614026
1020027112
1110339736
126859920
1341c2881
142934720
151b58e5c
hex13196e8

20027112 has 128 divisors (see below), whose sum is σ = 61378560. Its totient is φ = 5322240.

The previous prime is 20027087. The next prime is 20027113. The reversal of 20027112 is 21172002.

It is a junction number, because it is equal to n+sod(n) for n = 20027091 and 20027100.

It is not an unprimeable number, because it can be changed into a prime (20027113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274308 + ... + 274380.

It is an arithmetic number, because the mean of its divisors is an integer number (479520).

Almost surely, 220027112 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 20027112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689280).

20027112 is an abundant number, since it is smaller than the sum of its proper divisors (41351448).

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

20027112 is a wasteful number, since it uses less digits than its factorization.

20027112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 20027112 is about 4475.1661421672. The cubic root of 20027112 is about 271.5643617613.

Adding to 20027112 its reverse (21172002), we get a palindrome (41199114).

The spelling of 20027112 in words is "twenty million, twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 71 73 84 92 138 142 146 161 168 184 213 219 276 284 292 322 426 438 483 497 511 552 568 584 644 852 876 966 994 1022 1288 1491 1533 1633 1679 1704 1752 1932 1988 2044 2982 3066 3266 3358 3864 3976 4088 4899 5037 5183 5964 6132 6532 6716 9798 10074 10366 11431 11753 11928 12264 13064 13432 15549 19596 20148 20732 22862 23506 31098 34293 35259 36281 39192 40296 41464 45724 47012 62196 68586 70518 72562 91448 94024 108843 119209 124392 137172 141036 145124 217686 238418 274344 282072 290248 357627 435372 476836 715254 834463 870744 953672 1430508 1668926 2503389 2861016 3337852 5006778 6675704 10013556 20027112