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26324340 = 22357233269
BaseRepresentation
bin110010001101…
…0110101110100
31211112102012120
41210122311310
523214334330
62340115540
7436516230
oct144326564
954472176
1026324340
111394a959
128995bb0
1355b8c43
1436d35c0
15249ec10
hex191ad74

26324340 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 5968896.

The previous prime is 26324327. The next prime is 26324341. The reversal of 26324340 is 4342362.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26324340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26324341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 97726 + ... + 97994.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 226324340 is an apocalyptic number.

26324340 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 26324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

26324340 is an abundant number, since it is smaller than the sum of its proper divisors (58589580).

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

26324340 is a wasteful number, since it uses less digits than its factorization.

26324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 26324340 is about 5130.7250949549. The cubic root of 26324340 is about 297.4763863281.

The spelling of 26324340 in words is "twenty-six million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 233 269 420 466 538 699 807 932 1076 1165 1345 1398 1614 1631 1883 2330 2690 2796 3228 3262 3495 3766 4035 4660 4893 5380 5649 6524 6990 7532 8070 8155 9415 9786 11298 13980 16140 16310 18830 19572 22596 24465 28245 32620 37660 48930 56490 62677 97860 112980 125354 188031 250708 313385 376062 438739 626770 752124 877478 940155 1253540 1316217 1754956 1880310 2193695 2632434 3760620 4387390 5264868 6581085 8774780 13162170 26324340