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26831120 = 245312349
BaseRepresentation
bin110011001011…
…0100100010000
31212111011101012
41212112210100
523332043440
62355030052
7444026561
oct146264420
955434335
1026831120
1114166688
128b9b328
135735804
1437c6168
15254ee65
hex1996910

26831120 has 60 divisors (see below), whose sum is σ = 64644300. Its totient is φ = 10356480.

The previous prime is 26831111. The next prime is 26831149. The reversal of 26831120 is 2113862.

It can be written as a sum of positive squares in 2 ways, for example, as 14776336 + 12054784 = 3844^2 + 3472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76706 + ... + 77054.

It is an arithmetic number, because the mean of its divisors is an integer number (1077405).

Almost surely, 226831120 is an apocalyptic number.

26831120 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 26831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32322150).

26831120 is an abundant number, since it is smaller than the sum of its proper divisors (37813180).

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

26831120 is a wasteful number, since it uses less digits than its factorization.

26831120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 26831120 is about 5179.8764464029. The cubic root of 26831120 is about 299.3732098777.

Adding to 26831120 its reverse (2113862), we get a palindrome (28944982).

The spelling of 26831120 in words is "twenty-six million, eight hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 349 496 620 698 961 1240 1396 1745 1922 2480 2792 3490 3844 4805 5584 6980 7688 9610 10819 13960 15376 19220 21638 27920 38440 43276 54095 76880 86552 108190 173104 216380 335389 432760 670778 865520 1341556 1676945 2683112 3353890 5366224 6707780 13415560 26831120