Search a number
-
+
12647040 = 27357941
BaseRepresentation
bin110000001111…
…101010000000
3212210112110220
4300033222000
511214201130
61131023040
7212332560
oct60175200
925715426
1012647040
1171589aa
12429aa80
13280a673
141972da0
15119c410
hexc0fa80

12647040 has 128 divisors (see below), whose sum is σ = 46120320. Its totient is φ = 2887680.

The previous prime is 12647029. The next prime is 12647051. The reversal of 12647040 is 4074621.

It is an interprime number because it is at equal distance from previous prime (12647029) and next prime (12647051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12647040.

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, 12970 + ... + 13910.

It is an arithmetic number, because the mean of its divisors is an integer number (360315).

Almost surely, 212647040 is an apocalyptic number.

12647040 is a gapful number since it is divisible by the number (10) 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 12647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23060160).

12647040 is an abundant number, since it is smaller than the sum of its proper divisors (33473280).

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

12647040 is an equidigital number, since it uses as much as digits as its factorization.

12647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12647040 is about 3556.2677064586. The cubic root of 12647040 is about 232.9858956139.

The spelling of 12647040 in words is "twelve million, six hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 941 960 1120 1344 1680 1882 1920 2240 2688 2823 3360 3764 4480 4705 5646 6587 6720 7528 9410 11292 13174 13440 14115 15056 18820 19761 22584 26348 28230 30112 32935 37640 39522 45168 52696 56460 60224 65870 75280 79044 90336 98805 105392 112920 120448 131740 150560 158088 180672 197610 210784 225840 263480 301120 316176 361344 395220 421568 451680 526960 602240 632352 790440 843136 903360 1053920 1264704 1580880 1806720 2107840 2529408 3161760 4215680 6323520 12647040