Search a number
-
+
26136440 = 23511191311
BaseRepresentation
bin110001110110…
…0111101111000
31211011212110022
41203230331320
523142331230
62332110012
7435104351
oct143547570
954155408
1026136440
1113831770
128905308
135551565
143684d28
1524641e5
hex18ecf78

26136440 has 64 divisors (see below), whose sum is σ = 64696320. Its totient is φ = 9424000.

The previous prime is 26136437. The next prime is 26136443. The reversal of 26136440 is 4463162.

It is an interprime number because it is at equal distance from previous prime (26136437) and next prime (26136443).

It is a super-2 number, since 2×261364402 = 1366226991747200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26136443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83885 + ... + 84195.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 226136440 is an apocalyptic number.

26136440 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 26136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348160).

26136440 is an abundant number, since it is smaller than the sum of its proper divisors (38559880).

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

26136440 is a wasteful number, since it uses less digits than its factorization.

26136440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 26136440 is about 5112.3810499610. The cubic root of 26136440 is about 296.7669119349.

The spelling of 26136440 in words is "twenty-six million, one hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 311 382 440 622 764 955 1244 1528 1555 1910 2101 2488 3110 3421 3820 4202 6220 6842 7640 8404 10505 12440 13684 16808 17105 21010 27368 34210 42020 59401 68420 84040 118802 136840 237604 297005 475208 594010 653411 1188020 1306822 2376040 2613644 3267055 5227288 6534110 13068220 26136440