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26796140 = 2257237739
BaseRepresentation
bin110011000111…
…0000001101100
31212102101101122
41212032001230
523324434030
62354200112
7443522600
oct146160154
955371348
1026796140
1114142378
128b83038
135722907
1437b7500
1525448e5
hex198e06c

26796140 has 72 divisors (see below), whose sum is σ = 67319280. Its totient is φ = 8926848.

The previous prime is 26796113. The next prime is 26796163. The reversal of 26796140 is 4169762.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 26796140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35891 + ... + 36629.

It is an arithmetic number, because the mean of its divisors is an integer number (934990).

Almost surely, 226796140 is an apocalyptic number.

26796140 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 26796140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33659640).

26796140 is an abundant number, since it is smaller than the sum of its proper divisors (40523140).

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

26796140 is a wasteful number, since it uses less digits than its factorization.

26796140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 26796140 is about 5176.4988167680. The cubic root of 26796140 is about 299.2430546819.

The spelling of 26796140 in words is "twenty-six million, seven hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 739 740 980 1036 1295 1478 1813 2590 2956 3626 3695 5173 5180 7252 7390 9065 10346 14780 18130 20692 25865 27343 36211 36260 51730 54686 72422 103460 109372 136715 144844 181055 191401 273430 362110 382802 546860 724220 765604 957005 1339807 1914010 2679614 3828020 5359228 6699035 13398070 26796140