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26480640 = 21235431
BaseRepresentation
bin110010100000…
…1000000000000
31211211100121110
41211001000000
523234340030
62343323320
7441040014
oct145010000
954740543
1026480640
1113a4732a
128a50540
135642124
143734544
1524d11b0
hex1941000

26480640 has 104 divisors (see below), whose sum is σ = 84924288. Its totient is φ = 7045120.

The previous prime is 26480639. The next prime is 26480651. The reversal of 26480640 is 4608462.

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 = 26480598 and 26480607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61225 + ... + 61655.

Almost surely, 226480640 is an apocalyptic number.

26480640 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 26480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42462144).

26480640 is an abundant number, since it is smaller than the sum of its proper divisors (58443648).

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

26480640 is an equidigital number, since it uses as much as digits as its factorization.

26480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 26480640 is about 5145.9343174976. The cubic root of 26480640 is about 298.0639773753.

The spelling of 26480640 in words is "twenty-six million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 431 480 512 640 768 862 960 1024 1280 1293 1536 1724 1920 2048 2155 2560 2586 3072 3448 3840 4096 4310 5120 5172 6144 6465 6896 7680 8620 10240 10344 12288 12930 13792 15360 17240 20480 20688 25860 27584 30720 34480 41376 51720 55168 61440 68960 82752 103440 110336 137920 165504 206880 220672 275840 331008 413760 441344 551680 662016 827520 882688 1103360 1324032 1655040 1765376 2206720 2648064 3310080 4413440 5296128 6620160 8826880 13240320 26480640