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26104080 = 2435234729
BaseRepresentation
bin110001110010…
…1000100010000
31211010020001210
41203211010100
523140312310
62331300120
7434611122
oct143450420
954106053
1026104080
111380a422
1288aa640
13553c902
143677212
152459820
hex18e5110

26104080 has 80 divisors (see below), whose sum is σ = 84458880. Its totient is φ = 6657024.

The previous prime is 26104079. The next prime is 26104093. The reversal of 26104080 is 8040162.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156 + ... + 7884.

It is an arithmetic number, because the mean of its divisors is an integer number (1055736).

Almost surely, 226104080 is an apocalyptic number.

26104080 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 26104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42229440).

26104080 is an abundant number, since it is smaller than the sum of its proper divisors (58354800).

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

26104080 is a wasteful number, since it uses less digits than its factorization.

26104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 26104080 is about 5109.2152039232. The cubic root of 26104080 is about 296.6443838557.

The spelling of 26104080 in words is "twenty-six million, one hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 4729 5520 9458 14187 18916 23645 28374 37832 47290 56748 70935 75664 94580 108767 113496 141870 189160 217534 226992 283740 326301 378320 435068 543835 567480 652602 870136 1087670 1134960 1305204 1631505 1740272 2175340 2610408 3263010 4350680 5220816 6526020 8701360 13052040 26104080