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2066680 = 235711261
BaseRepresentation
bin111111000100011111000
310212222221201
413320203320
51012113210
6112143544
723365210
oct7704370
93788851
102066680
111191800
12837bb4
135748b5
143bb240
152ac53a
hex1f88f8

2066680 has 96 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 633600.

The previous prime is 2066653. The next prime is 2066681. The reversal of 2066680 is 866602.

It is a happy number.

2066680 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33850 + ... + 33910.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

22066680 is an apocalyptic number.

2066680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2066680 is an abundant number, since it is smaller than the sum of its proper divisors (3870440).

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

2066680 is a wasteful number, since it uses less digits than its factorization.

2066680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2066680 is about 1437.5952142380. The cubic root of 2066680 is about 127.3770184134.

It can be divided in two parts, 206 and 6680, that added together give a palindrome (6886).

The spelling of 2066680 in words is "two million, sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 61 70 77 88 110 121 122 140 154 220 242 244 280 305 308 385 427 440 484 488 605 610 616 671 770 847 854 968 1210 1220 1342 1540 1694 1708 2135 2420 2440 2684 3080 3355 3388 3416 4235 4270 4697 4840 5368 6710 6776 7381 8470 8540 9394 13420 14762 16940 17080 18788 23485 26840 29524 33880 36905 37576 46970 51667 59048 73810 93940 103334 147620 187880 206668 258335 295240 413336 516670 1033340 2066680