Search a number
-
+
26769240 = 23325235361
BaseRepresentation
bin110011000011…
…1011101011000
31212101000111100
41212013131120
523323103430
62353431400
7443351301
oct146073530
955330440
1026769240
1114124143
128b6b560
1357135b4
1437ab7a8
15253b960
hex1987758

26769240 has 192 divisors, whose sum is σ = 94011840. Its totient is φ = 6589440.

The previous prime is 26769227. The next prime is 26769251. The reversal of 26769240 is 4296762.

It is a happy number.

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 = 26769195 and 26769204.

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 47 ways as a sum of consecutive naturals, for example, 438810 + ... + 438870.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 226769240 is an apocalyptic number.

26769240 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 26769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005920).

26769240 is an abundant number, since it is smaller than the sum of its proper divisors (67242600).

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

26769240 is a wasteful number, since it uses less digits than its factorization.

26769240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 26769240 is about 5173.8998830669. The cubic root of 26769240 is about 299.1428868556.

26769240 divided by its sum of digits (36) gives a triangular number (743590 = T1219).

The spelling of 26769240 in words is "twenty-six million, seven hundred sixty-nine thousand, two hundred forty".