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26330640 = 2435722239
BaseRepresentation
bin110010001110…
…0011000010000
31211112201211220
41210130120100
523220040030
62340205040
7436543500
oct144343020
954481756
1026330640
1113954666
128999780
1355bba7b
1436d5a00
1524a1a10
hex191c610

26330640 has 120 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 6015744.

The previous prime is 26330639. The next prime is 26330641. The reversal of 26330640 is 4603362.

It is an interprime number because it is at equal distance from previous prime (26330639) and next prime (26330641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26330640.

It is not an unprimeable number, because it can be changed into a prime (26330641) 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, 10641 + ... + 12879.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 226330640 is an apocalyptic number.

26330640 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 26330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

26330640 is an abundant number, since it is smaller than the sum of its proper divisors (68663280).

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

26330640 is a wasteful number, since it uses less digits than its factorization.

26330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 26330640 is about 5131.3390065362. The cubic root of 26330640 is about 297.5001153402.

It can be divided in two parts, 263 and 30640, that added together give a palindrome (30903).

The spelling of 26330640 in words is "twenty-six million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2239 2352 2940 3920 4478 5880 6717 8956 11195 11760 13434 15673 17912 22390 26868 31346 33585 35824 44780 47019 53736 62692 67170 78365 89560 94038 107472 109711 125384 134340 156730 179120 188076 219422 235095 250768 268680 313460 329133 376152 438844 470190 537360 548555 626920 658266 752304 877688 940380 1097110 1253840 1316532 1645665 1755376 1880760 2194220 2633064 3291330 3761520 4388440 5266128 6582660 8776880 13165320 26330640