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26741340 = 2234517971
BaseRepresentation
bin110011000000…
…0101001011100
31212022121020000
41212000221130
523321210330
62353054300
7443204043
oct146005134
955277200
1026741340
111410518a
128b57390
1357039a2
1437a155a
152533560
hex1980a5c

26741340 has 120 divisors (see below), whose sum is σ = 88914672. Its totient is φ = 6704640.

The previous prime is 26741327. The next prime is 26741381. The reversal of 26741340 is 4314762.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27055 + ... + 28025.

Almost surely, 226741340 is an apocalyptic number.

26741340 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 26741340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457336).

26741340 is an abundant number, since it is smaller than the sum of its proper divisors (62173332).

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

26741340 is a wasteful number, since it uses less digits than its factorization.

26741340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26741340 is about 5171.2029548259. The cubic root of 26741340 is about 299.0389244001.

The spelling of 26741340 in words is "twenty-six million, seven hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 971 1020 1377 1530 1620 1836 1942 2295 2754 2913 3060 3884 4590 4855 5508 5826 6885 8739 9180 9710 11652 13770 14565 16507 17478 19420 26217 27540 29130 33014 34956 43695 49521 52434 58260 66028 78651 82535 87390 99042 104868 131085 148563 157302 165070 174780 198084 247605 262170 297126 314604 330140 393255 445689 495210 524340 594252 742815 786510 891378 990420 1337067 1485630 1573020 1782756 2228445 2674134 2971260 4456890 5348268 6685335 8913780 13370670 26741340