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26810940 = 22351337929
BaseRepresentation
bin110011001000…
…1101000111100
31212110010200210
41212101220330
523330422230
62354352420
7443614002
oct146215074
955403623
1026810940
1114152502
128b8b710
135729580
1437bca72
152548eb0
hex1991a3c

26810940 has 96 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 6414336.

The previous prime is 26810933. The next prime is 26810969. The reversal of 26810940 is 4901862.

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

It is a junction number, because it is equal to n+sod(n) for n = 26810898 and 26810907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28396 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 226810940 is an apocalyptic number.

26810940 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 26810940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

26810940 is an abundant number, since it is smaller than the sum of its proper divisors (56308740).

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

26810940 is a wasteful number, since it uses less digits than its factorization.

26810940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 26810940 is about 5177.9281570914. The cubic root of 26810940 is about 299.2981370195.

The spelling of 26810940 in words is "twenty-six million, eight hundred ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 929 962 1110 1443 1858 1924 2220 2405 2787 2886 3716 4645 4810 5574 5772 7215 9290 9620 11148 12077 13935 14430 18580 24154 27870 28860 34373 36231 48308 55740 60385 68746 72462 103119 120770 137492 144924 171865 181155 206238 241540 343730 362310 412476 446849 515595 687460 724620 893698 1031190 1340547 1787396 2062380 2234245 2681094 4468490 5362188 6702735 8936980 13405470 26810940