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2085318 = 23323273
BaseRepresentation
bin111111101000111000110
310220221112000
413331013012
51013212233
6112410130
723503434
oct7750706
93827460
102085318
1111a4804
12846946
13580221
143c3d54
152b2d13
hex1fd1c6

2085318 has 48 divisors (see below), whose sum is σ = 4910640. Its totient is φ = 655776.

The previous prime is 2085311. The next prime is 2085319. The reversal of 2085318 is 8135802.

It is a happy number.

It is a super-2 number, since 2×20853182 = 8697102322248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2085291 and 2085300.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28530 + ... + 28602.

It is an arithmetic number, because the mean of its divisors is an integer number (102305).

22085318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455320).

2085318 is an abundant number, since it is smaller than the sum of its proper divisors (2825322).

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

2085318 is a wasteful number, since it uses less digits than its factorization.

2085318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2085318 is about 1444.0630180155. The cubic root of 2085318 is about 127.7587823615.

The spelling of 2085318 in words is "two million, eighty-five thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 529 621 657 1058 1242 1314 1587 1679 1971 3174 3358 3942 4761 5037 9522 10074 14283 15111 28566 30222 38617 45333 77234 90666 115851 231702 347553 695106 1042659 2085318