Search a number
-
+
26068640 = 2551383151
BaseRepresentation
bin110001101110…
…0011010100000
31211001102110012
41203130122200
523133144030
62330424052
7434402603
oct143343240
954042405
1026068640
1113795834
128892028
135529740
14366833a
15244e095
hex18dc6a0

26068640 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 9446400.

The previous prime is 26068639. The next prime is 26068649. The reversal of 26068640 is 4686062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 26068597 and 26068606.

It is not an unprimeable number, because it can be changed into a prime (26068649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172565 + ... + 172715.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 226068640 is an apocalyptic number.

26068640 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 26068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

26068640 is an abundant number, since it is smaller than the sum of its proper divisors (41499616).

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

26068640 is a wasteful number, since it uses less digits than its factorization.

26068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26068640 is about 5105.7457829391. The cubic root of 26068640 is about 296.5100774149.

The spelling of 26068640 in words is "twenty-six million, sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 151 160 166 208 260 302 332 415 416 520 604 664 755 830 1040 1079 1208 1328 1510 1660 1963 2080 2158 2416 2656 3020 3320 3926 4316 4832 5395 6040 6640 7852 8632 9815 10790 12080 12533 13280 15704 17264 19630 21580 24160 25066 31408 34528 39260 43160 50132 62665 62816 78520 86320 100264 125330 157040 162929 172640 200528 250660 314080 325858 401056 501320 651716 814645 1002640 1303432 1629290 2005280 2606864 3258580 5213728 6517160 13034320 26068640