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2127060 = 2234513101
BaseRepresentation
bin1000000111010011010100
311000001210000
420013103110
51021031220
6113331300
724036225
oct10072324
94001700
102127060
111223101
12866b30
13596220
143d524c
152c0390
hex2074d4

2127060 has 120 divisors (see below), whose sum is σ = 7257096. Its totient is φ = 518400.

The previous prime is 2127043. The next prime is 2127061. The reversal of 2127060 is 607212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 1774224 = 594^2 + 1332^2 .

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 (2127061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21010 + ... + 21110.

22127060 is an apocalyptic number.

2127060 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 2127060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628548).

2127060 is an abundant number, since it is smaller than the sum of its proper divisors (5130036).

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

2127060 is a wasteful number, since it uses less digits than its factorization.

2127060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2127060 is about 1458.4443767247. Note that the first 3 decimals coincide. The cubic root of 2127060 is about 128.6056099595.

The spelling of 2127060 in words is "two million, one hundred twenty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 101 108 117 130 135 156 162 180 195 202 234 260 270 303 324 351 390 404 405 468 505 540 585 606 702 780 810 909 1010 1053 1170 1212 1313 1404 1515 1620 1755 1818 2020 2106 2340 2626 2727 3030 3510 3636 3939 4212 4545 5252 5265 5454 6060 6565 7020 7878 8181 9090 10530 10908 11817 13130 13635 15756 16362 18180 19695 21060 23634 26260 27270 32724 35451 39390 40905 47268 54540 59085 70902 78780 81810 106353 118170 141804 163620 177255 212706 236340 354510 425412 531765 709020 1063530 2127060