Search a number
-
+
2687040 = 26335311
BaseRepresentation
bin1010010000000001000000
312001111221000
422100001000
51141441130
6133332000
731560636
oct12200100
95044830
102687040
1115758a4
12a97000
13731085
144dd356
15381260
hex290040

2687040 has 112 divisors (see below), whose sum is σ = 9509760. Its totient is φ = 714240.

The previous prime is 2687039. The next prime is 2687059. The reversal of 2687040 is 407862.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2686995 and 2687013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8485 + ... + 8795.

22687040 is an apocalyptic number.

2687040 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 2687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754880).

2687040 is an abundant number, since it is smaller than the sum of its proper divisors (6822720).

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

2687040 is a wasteful number, since it uses less digits than its factorization.

2687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

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

The square root of 2687040 is about 1639.2193263868. The cubic root of 2687040 is about 139.0245113167.

The spelling of 2687040 in words is "two million, six hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 311 320 360 432 480 540 576 622 720 864 933 960 1080 1244 1440 1555 1728 1866 2160 2488 2799 2880 3110 3732 4320 4665 4976 5598 6220 7464 8397 8640 9330 9952 11196 12440 13995 14928 16794 18660 19904 22392 24880 27990 29856 33588 37320 41985 44784 49760 55980 59712 67176 74640 83970 89568 99520 111960 134352 149280 167940 179136 223920 268704 298560 335880 447840 537408 671760 895680 1343520 2687040