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2136780 = 223451319
BaseRepresentation
bin1000001001101011001100
311000120010000
420021223030
51021334110
6113444300
724106452
oct10115314
94016100
102136780
11122a438
12870690
1359a789
143d89d2
152c31c0
hex209acc

2136780 has 60 divisors (see below), whose sum is σ = 6708240. Its totient is φ = 569376.

The previous prime is 2136779. The next prime is 2136793. The reversal of 2136780 is 876312.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 961 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (111804).

22136780 is an apocalyptic number.

2136780 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 2136780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354120).

2136780 is an abundant number, since it is smaller than the sum of its proper divisors (4571460).

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

2136780 is a wasteful number, since it uses less digits than its factorization.

2136780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2136780 is about 1461.7728961778. The cubic root of 2136780 is about 128.8012081468.

It can be divided in two parts, 2136 and 780, that added together give a square (2916 = 542).

The spelling of 2136780 in words is "two million, one hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1319 1620 2638 3957 5276 6595 7914 11871 13190 15828 19785 23742 26380 35613 39570 47484 59355 71226 79140 106839 118710 142452 178065 213678 237420 356130 427356 534195 712260 1068390 2136780