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26968480 = 2557112199
BaseRepresentation
bin110011011100…
…0000110100000
31212202010210121
41212320012200
523400442410
62402010024
7445141210
oct146700640
955663717
1026968480
111424a900
129046914
1357831a6
143820240
15257a9da
hex19b81a0

26968480 has 144 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 8363520.

The previous prime is 26968471. The next prime is 26968483. The reversal of 26968480 is 8486962.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26968483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135421 + ... + 135619.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 226968480 is an apocalyptic number.

26968480 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 26968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

26968480 is an abundant number, since it is smaller than the sum of its proper divisors (53469920).

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

26968480 is a wasteful number, since it uses less digits than its factorization.

26968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 26968480 is about 5193.1185235848. The cubic root of 26968480 is about 299.8832138018.

The spelling of 26968480 in words is "twenty-six million, nine hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 199 220 224 242 280 308 352 385 398 440 484 560 605 616 770 796 847 880 968 995 1120 1210 1232 1393 1540 1592 1694 1760 1936 1990 2189 2420 2464 2786 3080 3184 3388 3872 3980 4235 4378 4840 5572 6160 6368 6776 6965 7960 8470 8756 9680 10945 11144 12320 13552 13930 15323 15920 16940 17512 19360 21890 22288 24079 27104 27860 30646 31840 33880 35024 43780 44576 48158 55720 61292 67760 70048 76615 87560 96316 111440 120395 122584 135520 153230 168553 175120 192632 222880 240790 245168 306460 337106 350240 385264 481580 490336 612920 674212 770528 842765 963160 1225840 1348424 1685530 1926320 2451680 2696848 3371060 3852640 5393696 6742120 13484240 26968480