Search a number
-
+
26643260 = 2257231877
BaseRepresentation
bin110010110100…
…0101100111100
31212010121200102
41211220230330
523310041020
62351020232
7442315100
oct145505474
955117612
1026643260
1114048526
128b0a678
13569b157
143777900
152514475
hex1968b3c

26643260 has 72 divisors (see below), whose sum is σ = 67261824. Its totient is φ = 8830080.

The previous prime is 26643251. The next prime is 26643289. The reversal of 26643260 is 6234662.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29942 + ... + 30818.

It is an arithmetic number, because the mean of its divisors is an integer number (934192).

Almost surely, 226643260 is an apocalyptic number.

26643260 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 26643260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33630912).

26643260 is an abundant number, since it is smaller than the sum of its proper divisors (40618564).

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

26643260 is a wasteful number, since it uses less digits than its factorization.

26643260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 26643260 is about 5161.7109566499. The cubic root of 26643260 is about 298.6728785600.

The spelling of 26643260 in words is "twenty-six million, six hundred forty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 877 980 1085 1519 1754 2170 3038 3508 4340 4385 6076 6139 7595 8770 12278 15190 17540 24556 27187 30380 30695 42973 54374 61390 85946 108748 122780 135935 171892 190309 214865 271870 380618 429730 543740 761236 859460 951545 1332163 1903090 2664326 3806180 5328652 6660815 13321630 26643260