Search a number
-
+
26706780 = 22335192137
BaseRepresentation
bin110010111100…
…0001101011100
31212020211211000
41211320031130
523314104110
62352230300
7443001222
oct145701534
955224730
1026706780
1114091221
128b3b390
1356c1039
143792b12
1525281c0
hex197835c

26706780 has 144 divisors (see below), whose sum is σ = 88331040. Its totient is φ = 6697728.

The previous prime is 26706773. The next prime is 26706781. The reversal of 26706780 is 8760762.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26706781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194872 + ... + 195008.

It is an arithmetic number, because the mean of its divisors is an integer number (613410).

Almost surely, 226706780 is an apocalyptic number.

26706780 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 26706780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44165520).

26706780 is an abundant number, since it is smaller than the sum of its proper divisors (61624260).

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

26706780 is a wasteful number, since it uses less digits than its factorization.

26706780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 26706780 is about 5167.8602922293. The cubic root of 26706780 is about 298.9100447879.

The spelling of 26706780 in words is "twenty-six million, seven hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 137 171 180 190 228 270 274 285 342 361 380 411 513 540 548 570 684 685 722 822 855 1026 1083 1140 1233 1370 1444 1644 1710 1805 2052 2055 2166 2466 2565 2603 2740 3249 3420 3610 3699 4110 4332 4932 5130 5206 5415 6165 6498 7220 7398 7809 8220 9747 10260 10412 10830 12330 12996 13015 14796 15618 16245 18495 19494 21660 23427 24660 26030 31236 32490 36990 38988 39045 46854 48735 49457 52060 64980 70281 73980 78090 93708 97470 98914 117135 140562 148371 156180 194940 197828 234270 247285 281124 296742 351405 445113 468540 494570 593484 702810 741855 890226 989140 1335339 1405620 1483710 1780452 2225565 2670678 2967420 4451130 5341356 6676695 8902260 13353390 26706780