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26131056 = 243783937
BaseRepresentation
bin110001110101…
…1101001110000
31211011121001220
41203223221300
523142143211
62332025040
7435052560
oct143535160
954147056
1026131056
1113828716
128902180
13554bc83
143682da0
152462806
hex18eba70

26131056 has 80 divisors (see below), whose sum is σ = 78161664. Its totient is φ = 7368192.

The previous prime is 26131043. The next prime is 26131069. The reversal of 26131056 is 65013162.

It is an interprime number because it is at equal distance from previous prime (26131043) and next prime (26131069).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 27420 + ... + 28356.

Almost surely, 226131056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26131056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39080832).

26131056 is an abundant number, since it is smaller than the sum of its proper divisors (52030608).

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

26131056 is a wasteful number, since it uses less digits than its factorization.

26131056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 26131056 is about 5111.8544580221. The cubic root of 26131056 is about 296.7465329445.

The spelling of 26131056 in words is "twenty-six million, one hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 937 996 1162 1328 1743 1874 1992 2324 2811 3486 3748 3984 4648 5622 6559 6972 7496 9296 11244 13118 13944 14992 19677 22488 26236 27888 39354 44976 52472 77771 78708 104944 155542 157416 233313 311084 314832 466626 544397 622168 933252 1088794 1244336 1633191 1866504 2177588 3266382 3733008 4355176 6532764 8710352 13065528 26131056