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2041312 = 25713701
BaseRepresentation
bin111110010010111100000
310211201011011
413302113200
51010310222
6111430304
723231230
oct7622740
93751134
102041312
111174739
12825394
135661a0
143b1cc0
152a4c77
hex1f25e0

2041312 has 48 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 806400.

The previous prime is 2041307. The next prime is 2041363. The reversal of 2041312 is 2131402.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2041292 and 2041301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562 + ... + 3262.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

22041312 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 2041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

2041312 is an abundant number, since it is smaller than the sum of its proper divisors (2912000).

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

2041312 is a wasteful number, since it uses less digits than its factorization.

2041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2041312 is about 1428.7449037529. The cubic root of 2041312 is about 126.8536972331.

Adding to 2041312 its reverse (2131402), we get a palindrome (4172714).

The spelling of 2041312 in words is "two million, forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 701 728 1402 1456 2804 2912 4907 5608 9113 9814 11216 18226 19628 22432 36452 39256 63791 72904 78512 127582 145808 157024 255164 291616 510328 1020656 2041312