Search a number
-
+
26764780 = 2257231881
BaseRepresentation
bin110011000011…
…0010111101100
31212100210101011
41212012113230
523322433110
62353355004
7443332300
oct146062754
955323334
1026764780
1114120859
128b68a64
135711563
1437a9d00
15253a48a
hex19865ec

26764780 has 72 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 8870400.

The previous prime is 26764757. The next prime is 26764789. The reversal of 26764780 is 8746762.

It is not an unprimeable number, because it can be changed into a prime (26764789) 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 23 ways as a sum of consecutive naturals, for example, 29940 + ... + 30820.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 226764780 is an apocalyptic number.

26764780 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 26764780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

26764780 is an abundant number, since it is smaller than the sum of its proper divisors (40803476).

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

26764780 is a wasteful number, since it uses less digits than its factorization.

26764780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 26764780 is about 5173.4688556132. The cubic root of 26764780 is about 299.1262726201.

The spelling of 26764780 in words is "twenty-six million, seven hundred sixty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 881 980 1085 1519 1762 2170 3038 3524 4340 4405 6076 6167 7595 8810 12334 15190 17620 24668 27311 30380 30835 43169 54622 61670 86338 109244 123340 136555 172676 191177 215845 273110 382354 431690 546220 764708 863380 955885 1338239 1911770 2676478 3823540 5352956 6691195 13382390 26764780