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2085174 = 2327131967
BaseRepresentation
bin111111101000100110110
310220221022200
413331010312
51013211144
6112405330
723503140
oct7750466
93827280
102085174
1111a4693
12846846
13580140
143c3c90
152b2c69
hex1fd136

2085174 has 96 divisors (see below), whose sum is σ = 5940480. Its totient is φ = 513216.

The previous prime is 2085151. The next prime is 2085191. The reversal of 2085174 is 4715802.

It is a super-2 number, since 2×20851742 = 8695901220552, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31089 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (61880).

22085174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970240).

2085174 is an abundant number, since it is smaller than the sum of its proper divisors (3855306).

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

2085174 is a wasteful number, since it uses less digits than its factorization.

2085174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2085174 is about 1444.0131578348. The cubic root of 2085174 is about 127.7558415329.

The spelling of 2085174 in words is "two million, eighty-five thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 67 78 91 114 117 126 133 134 171 182 201 234 247 266 273 342 399 402 469 494 546 603 741 798 819 871 938 1197 1206 1273 1407 1482 1638 1729 1742 2223 2394 2546 2613 2814 3458 3819 4221 4446 5187 5226 6097 7638 7839 8442 8911 10374 11457 12194 15561 15678 16549 17822 18291 22914 26733 31122 33098 36582 49647 53466 54873 80199 99294 109746 115843 148941 160398 231686 297882 347529 695058 1042587 2085174