Search a number
-
+
26697240 = 2332574159
BaseRepresentation
bin110010111010…
…1111000011000
31212020100201200
41211311320120
523313302430
62352114200
7442631343
oct145657030
955210650
1026697240
1114085039
128b35960
1356b98ab
14378d45a
152525460
hex1975e18

26697240 has 48 divisors (see below), whose sum is σ = 86767200. Its totient is φ = 7119168.

The previous prime is 26697233. The next prime is 26697263. The reversal of 26697240 is 4279662.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 26697195 and 26697204.

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 11 ways as a sum of consecutive naturals, for example, 36720 + ... + 37439.

It is an arithmetic number, because the mean of its divisors is an integer number (1807650).

Almost surely, 226697240 is an apocalyptic number.

26697240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26697240 is an abundant number, since it is smaller than the sum of its proper divisors (60069960).

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

26697240 is a wasteful number, since it uses less digits than its factorization.

26697240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74176 (or 74169 counting only the distinct ones).

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

The square root of 26697240 is about 5166.9371972185. The cubic root of 26697240 is about 298.8744490648.

The spelling of 26697240 in words is "twenty-six million, six hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 74159 148318 222477 296636 370795 444954 593272 667431 741590 889908 1112385 1334862 1483180 1779816 2224770 2669724 2966360 3337155 4449540 5339448 6674310 8899080 13348620 26697240