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26856120 = 23351911779
BaseRepresentation
bin110011001110…
…0101010111000
31212112102200010
41212130222320
523333343440
62355341520
7444162504
oct146345270
955472603
1026856120
1114183445
128bb18a0
135743cc5
1437d1304
152557580
hex199cab8

26856120 has 64 divisors (see below), whose sum is σ = 84816000. Its totient is φ = 6784128.

The previous prime is 26856097. The next prime is 26856149. The reversal of 26856120 is 2165862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3610 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 226856120 is an apocalyptic number.

26856120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26856120 is an abundant number, since it is smaller than the sum of its proper divisors (57959880).

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

26856120 is a wasteful number, since it uses less digits than its factorization.

26856120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 26856120 is about 5182.2890695136. The cubic root of 26856120 is about 299.4661617302.

The spelling of 26856120 in words is "twenty-six million, eight hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 11779 23558 35337 47116 58895 70674 94232 117790 141348 176685 223801 235580 282696 353370 447602 471160 671403 706740 895204 1119005 1342806 1413480 1790408 2238010 2685612 3357015 4476020 5371224 6714030 8952040 13428060 26856120