Search a number
-
+
2085312 = 26310861
BaseRepresentation
bin111111101000111000000
310220221111210
413331013000
51013212222
6112410120
723503425
oct7750700
93827453
102085312
1111a47a9
12846940
13580218
143c3d4c
152b2d0c
hex1fd1c0

2085312 has 28 divisors (see below), whose sum is σ = 5517896. Its totient is φ = 695040.

The previous prime is 2085311. The next prime is 2085319. The reversal of 2085312 is 2135802.

It is a super-2 number, since 2×20853122 = 8697052274688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085311) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5239 + ... + 5622.

22085312 is an apocalyptic number.

It is an amenable number.

2085312 is an abundant number, since it is smaller than the sum of its proper divisors (3432584).

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

2085312 is a wasteful number, since it uses less digits than its factorization.

2085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2085312 is about 1444.0609405423. The cubic root of 2085312 is about 127.7586598297.

The spelling of 2085312 in words is "two million, eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 10861 21722 32583 43444 65166 86888 130332 173776 260664 347552 521328 695104 1042656 2085312