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26104200 = 23352139313
BaseRepresentation
bin110001110010…
…1000110001000
31211010020020020
41203211012020
523140313300
62331300440
7434611353
oct143450610
954106206
1026104200
111380a521
1288aa720
13553c995
14367729a
1524598a0
hex18e5188

26104200 has 96 divisors (see below), whose sum is σ = 81765600. Its totient is φ = 6888960.

The previous prime is 26104193. The next prime is 26104213. The reversal of 26104200 is 240162.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 26104200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83244 + ... + 83556.

It is an arithmetic number, because the mean of its divisors is an integer number (851725).

Almost surely, 226104200 is an apocalyptic number.

26104200 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 26104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40882800).

26104200 is an abundant number, since it is smaller than the sum of its proper divisors (55661400).

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

26104200 is a wasteful number, since it uses less digits than its factorization.

26104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 26104200 is about 5109.2269473962. The cubic root of 26104200 is about 296.6448384113.

Adding to 26104200 its reverse (240162), we get a palindrome (26344362).

The spelling of 26104200 in words is "twenty-six million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 313 417 556 600 626 695 834 939 1112 1252 1390 1565 1668 1878 2085 2504 2780 3130 3336 3475 3756 4170 4695 5560 6260 6950 7512 7825 8340 9390 10425 12520 13900 15650 16680 18780 20850 23475 27800 31300 37560 41700 43507 46950 62600 83400 87014 93900 130521 174028 187800 217535 261042 348056 435070 522084 652605 870140 1044168 1087675 1305210 1740280 2175350 2610420 3263025 4350700 5220840 6526050 8701400 13052100 26104200