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26104000 = 265313251
BaseRepresentation
bin110001110010…
…1000011000000
31211010012221211
41203211003000
523140312000
62331255504
7434610646
oct143450300
954105854
1026104000
111380a35a
1288aa594
13553c870
143677196
1524597ba
hex18e50c0

26104000 has 112 divisors (see below), whose sum is σ = 69896736. Its totient is φ = 9600000.

The previous prime is 26103991. The next prime is 26104007. The reversal of 26104000 is 40162.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (26104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103875 + ... + 104125.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 226104000 is an apocalyptic number.

26104000 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 26104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948368).

26104000 is an abundant number, since it is smaller than the sum of its proper divisors (43792736).

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

26104000 is a wasteful number, since it uses less digits than its factorization.

26104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 26104000 is about 5109.2073749262. The cubic root of 26104000 is about 296.6440808178.

Adding to 26104000 its reverse (40162), we get a palindrome (26144162).

The spelling of 26104000 in words is "twenty-six million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 251 260 320 325 400 416 500 502 520 650 800 832 1000 1004 1040 1255 1300 1600 1625 2000 2008 2080 2510 2600 3250 3263 4000 4016 4160 5020 5200 6275 6500 6526 8000 8032 10040 10400 12550 13000 13052 16064 16315 20080 20800 25100 26000 26104 31375 32630 40160 50200 52000 52208 62750 65260 80320 81575 100400 104000 104416 125500 130520 163150 200800 208832 251000 261040 326300 401600 407875 502000 522080 652600 815750 1004000 1044160 1305200 1631500 2008000 2610400 3263000 5220800 6526000 13052000 26104000