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20002112 = 261329829
BaseRepresentation
bin100110001001…
…1010101000000
31101122012201222
41030103111000
520110031422
61552414212
7332005124
oct114232500
941565658
1020002112
1110321979
126847368
1341b4390
142929584
151b51842
hex1313540

20002112 has 56 divisors (see below), whose sum is σ = 44272200. Its totient is φ = 8902656.

The previous prime is 20002097. The next prime is 20002123. The reversal of 20002112 is 21120002.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 18800896 = 1096^2 + 4336^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20002112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23714 + ... + 24542.

It is an arithmetic number, because the mean of its divisors is an integer number (790575).

Almost surely, 220002112 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 20002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22136100).

20002112 is an abundant number, since it is smaller than the sum of its proper divisors (24270088).

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

20002112 is a wasteful number, since it uses less digits than its factorization.

20002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20002112 is about 4472.3720775445. The cubic root of 20002112 is about 271.4513160732.

Adding to 20002112 its reverse (21120002), we get a palindrome (41122114).

The spelling of 20002112 in words is "twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 829 832 928 1508 1658 1856 3016 3316 6032 6632 10777 12064 13264 21554 24041 24128 26528 43108 48082 53056 86216 96164 172432 192328 312533 344864 384656 625066 689728 769312 1250132 1538624 2500264 5000528 10001056 20002112