Search a number
-
+
26868240 = 2433571777
BaseRepresentation
bin110011001111…
…1101000010000
31212120001022000
41212133220100
523334240430
62355514000
7444243030
oct146375020
955501260
1026868240
1114191563
128bb8900
135749689
1437d58c0
15255ae60
hex199fa10

26868240 has 160 divisors (see below), whose sum is σ = 105826560. Its totient is φ = 6137856.

The previous prime is 26868229. The next prime is 26868241. The reversal of 26868240 is 4286862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26868195 and 26868204.

It is not an unprimeable number, because it can be changed into a prime (26868241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14232 + ... + 16008.

It is an arithmetic number, because the mean of its divisors is an integer number (661416).

Almost surely, 226868240 is an apocalyptic number.

26868240 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 26868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52913280).

26868240 is an abundant number, since it is smaller than the sum of its proper divisors (78958320).

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

26868240 is a wasteful number, since it uses less digits than its factorization.

26868240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26868240 is about 5183.4583050315. The cubic root of 26868240 is about 299.5112040275.

The spelling of 26868240 in words is "twenty-six million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1777 1890 2160 2520 3024 3554 3780 5040 5331 7108 7560 8885 10662 12439 14216 15120 15993 17770 21324 24878 26655 28432 31986 35540 37317 42648 47979 49756 53310 62195 63972 71080 74634 79965 85296 95958 99512 106620 111951 124390 127944 142160 149268 159930 186585 191916 199024 213240 223902 239895 248780 255888 298536 319860 335853 373170 383832 426480 447804 479790 497560 559755 597072 639720 671706 746340 767664 895608 959580 995120 1119510 1279440 1343412 1492680 1679265 1791216 1919160 2239020 2686824 2985360 3358530 3838320 4478040 5373648 6717060 8956080 13434120 26868240