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2040714 = 235131719
BaseRepresentation
bin111110010001110001010
310211200100000
413302032022
51010300324
6111423430
723226414
oct7621612
93750300
102040714
111174245
12824b76
13565b30
143b19b4
152a49c9
hex1f238a

2040714 has 96 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 559872.

The previous prime is 2040679. The next prime is 2040719. The reversal of 2040714 is 4170402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040719) 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 47 ways as a sum of consecutive naturals, for example, 107397 + ... + 107415.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

22040714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2040714 is an abundant number, since it is smaller than the sum of its proper divisors (3462966).

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

2040714 is a wasteful number, since it uses less digits than its factorization.

2040714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2040714 is about 1428.5356138368. The cubic root of 2040714 is about 126.8413088084.

The spelling of 2040714 in words is "two million, forty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 81 102 114 117 153 162 171 221 234 243 247 306 323 342 351 442 459 486 494 513 646 663 702 741 918 969 1026 1053 1326 1377 1482 1539 1938 1989 2106 2223 2754 2907 3078 3159 3978 4131 4199 4446 4617 5814 5967 6318 6669 8262 8398 8721 9234 11934 12597 13338 17442 17901 20007 25194 26163 35802 37791 40014 52326 53703 60021 75582 78489 107406 113373 120042 156978 226746 340119 680238 1020357 2040714