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26930880 = 263451039
BaseRepresentation
bin110011010111…
…0111011000000
31212200020020000
41212232323000
523343242010
62401120000
7444623454
oct146567300
955606200
1026930880
1114224629
129029000
13576c042
143810664
15256e7c0
hex19aeec0

26930880 has 140 divisors (see below), whose sum is σ = 95890080. Its totient is φ = 7174656.

The previous prime is 26930867. The next prime is 26930887. The reversal of 26930880 is 8803962.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26930887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25401 + ... + 26439.

Almost surely, 226930880 is an apocalyptic number.

26930880 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 26930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47945040).

26930880 is an abundant number, since it is smaller than the sum of its proper divisors (68959200).

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

26930880 is a wasteful number, since it uses less digits than its factorization.

26930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26930880 is about 5189.4970854602. The cubic root of 26930880 is about 299.7437812354.

The spelling of 26930880 in words is "twenty-six million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1039 1080 1296 1440 1620 1728 2078 2160 2592 2880 3117 3240 4156 4320 5184 5195 6234 6480 8312 8640 9351 10390 12468 12960 15585 16624 18702 20780 24936 25920 28053 31170 33248 37404 41560 46755 49872 56106 62340 66496 74808 83120 84159 93510 99744 112212 124680 140265 149616 166240 168318 187020 199488 224424 249360 280530 299232 332480 336636 374040 420795 448848 498720 561060 598464 673272 748080 841590 897696 997440 1122120 1346544 1496160 1683180 1795392 2244240 2693088 2992320 3366360 4488480 5386176 6732720 8976960 13465440 26930880