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2671380 = 223451797
BaseRepresentation
bin1010001100001100010100
312000201110000
422030030110
51140441010
6133131300
731464165
oct12141424
95021400
102671380
111565058
12a89b30
13726bca
144d776c
1537b7c0
hex28c314

2671380 has 120 divisors (see below), whose sum is σ = 8964648. Its totient is φ = 663552.

The previous prime is 2671369. The next prime is 2671391. The reversal of 2671380 is 831762.

It is an interprime number because it is at equal distance from previous prime (2671369) and next prime (2671391).

It can be written as a sum of positive squares in 4 ways, for example, as 492804 + 2178576 = 702^2 + 1476^2 .

It is a super-2 number, since 2×26713802 = 14272542208800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27492 + ... + 27588.

22671380 is an apocalyptic number.

2671380 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 2671380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482324).

2671380 is an abundant number, since it is smaller than the sum of its proper divisors (6293268).

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

2671380 is a wasteful number, since it uses less digits than its factorization.

2671380 is an evil number, because the sum of its binary digits is even.

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

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

The square root of 2671380 is about 1634.4356824299. The cubic root of 2671380 is about 138.7539078520.

The spelling of 2671380 in words is "two million, six hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 97 102 108 135 153 162 170 180 194 204 255 270 291 306 324 340 388 405 459 485 510 540 582 612 765 810 873 918 970 1020 1164 1377 1455 1530 1620 1649 1746 1836 1940 2295 2619 2754 2910 3060 3298 3492 4365 4590 4947 5238 5508 5820 6596 6885 7857 8245 8730 9180 9894 10476 13095 13770 14841 15714 16490 17460 19788 24735 26190 27540 29682 31428 32980 39285 44523 49470 52380 59364 74205 78570 89046 98940 133569 148410 157140 178092 222615 267138 296820 445230 534276 667845 890460 1335690 2671380