Search a number
-
+
26243560 = 2357194933
BaseRepresentation
bin110010000011…
…1000111101000
31211101022101201
41210013013220
523204243220
62334253544
7436031560
oct144070750
954338351
1026243560
11138a51a2
1289572b4
13558b245
1436b1da0
152485d0a
hex19071e8

26243560 has 64 divisors (see below), whose sum is σ = 71049600. Its totient is φ = 8522496.

The previous prime is 26243557. The next prime is 26243587. The reversal of 26243560 is 6534262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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, 2854 + ... + 7786.

It is an arithmetic number, because the mean of its divisors is an integer number (1110150).

Almost surely, 226243560 is an apocalyptic number.

26243560 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 26243560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35524800).

26243560 is an abundant number, since it is smaller than the sum of its proper divisors (44806040).

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

26243560 is a wasteful number, since it uses less digits than its factorization.

26243560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 26243560 is about 5122.8468647813. The cubic root of 26243560 is about 297.1717916139.

The spelling of 26243560 in words is "twenty-six million, two hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 4933 5320 9866 19732 24665 34531 39464 49330 69062 93727 98660 138124 172655 187454 197320 276248 345310 374908 468635 656089 690620 749816 937270 1312178 1381240 1874540 2624356 3280445 3749080 5248712 6560890 13121780 26243560