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2085912 = 23352937
BaseRepresentation
bin111111101010000011000
310220222100000
413331100120
51013222122
6112413000
723505243
oct7752030
93828300
102085912
1111a51a4
12847160
1358058a
143c425a
152b30ac
hex1fd418

2085912 has 96 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 653184.

The previous prime is 2085899. The next prime is 2085929. The reversal of 2085912 is 2195802.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 56358 + ... + 56394.

22085912 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 2085912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2085912 is an abundant number, since it is smaller than the sum of its proper divisors (4138488).

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

2085912 is a wasteful number, since it uses less digits than its factorization.

2085912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2085912 is about 1444.2686730661. The cubic root of 2085912 is about 127.7709118484.

The spelling of 2085912 in words is "two million, eighty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 243 261 296 324 333 348 444 486 522 648 666 696 783 888 972 999 1044 1073 1332 1566 1944 1998 2088 2146 2349 2664 2997 3132 3219 3996 4292 4698 5994 6264 6438 7047 7992 8584 8991 9396 9657 11988 12876 14094 17982 18792 19314 23976 25752 28188 28971 35964 38628 56376 57942 71928 77256 86913 115884 173826 231768 260739 347652 521478 695304 1042956 2085912