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2076840 = 23345641
BaseRepresentation
bin111111011000010101000
310220111220000
413323002220
51012424330
6112303000
723436633
oct7730250
93814800
102076840
1111993a7
12841a60
135793cc
143c0c1a
152b0560
hex1fb0a8

2076840 has 80 divisors (see below), whose sum is σ = 6991380. Its totient is φ = 552960.

The previous prime is 2076829. The next prime is 2076869. The reversal of 2076840 is 486702.

2076840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 54756 = 1422^2 + 234^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2920 + ... + 3560.

22076840 is an apocalyptic number.

2076840 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 2076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495690).

2076840 is an abundant number, since it is smaller than the sum of its proper divisors (4914540).

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

2076840 is a wasteful number, since it uses less digits than its factorization.

2076840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2076840 is about 1441.1245608899. The cubic root of 2076840 is about 127.5854099007.

It can be divided in two parts, 2076 and 840, that added together give a square (2916 = 542).

The spelling of 2076840 in words is "two million, seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 641 648 810 1080 1282 1620 1923 2564 3205 3240 3846 5128 5769 6410 7692 9615 11538 12820 15384 17307 19230 23076 25640 28845 34614 38460 46152 51921 57690 69228 76920 86535 103842 115380 138456 173070 207684 230760 259605 346140 415368 519210 692280 1038420 2076840