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26834136 = 2337211757
BaseRepresentation
bin110011001011…
…1010011011000
31212111022111220
41212113103120
523332143021
62355052040
7444041430
oct146272330
955438456
1026834136
111416897a
128ba1020
135736cb4
1437c72c0
152550cc6
hex19974d8

26834136 has 64 divisors (see below), whose sum is σ = 77134080. Its totient is φ = 7620480.

The previous prime is 26834117. The next prime is 26834161. The reversal of 26834136 is 63143862.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26834097 and 26834106.

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 15 ways as a sum of consecutive naturals, for example, 35070 + ... + 35826.

It is an arithmetic number, because the mean of its divisors is an integer number (1205220).

Almost surely, 226834136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26834136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38567040).

26834136 is an abundant number, since it is smaller than the sum of its proper divisors (50299944).

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

26834136 is a wasteful number, since it uses less digits than its factorization.

26834136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 26834136 is about 5180.1675648573. The cubic root of 26834136 is about 299.3844266510.

Adding to 26834136 its reverse (63143862), we get a palindrome (89977998).

The spelling of 26834136 in words is "twenty-six million, eight hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 757 844 1266 1477 1514 1688 2271 2532 2954 3028 4431 4542 5064 5299 5908 6056 8862 9084 10598 11816 15897 17724 18168 21196 31794 35448 42392 63588 127176 159727 319454 479181 638908 958362 1118089 1277816 1916724 2236178 3354267 3833448 4472356 6708534 8944712 13417068 26834136