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26490420 = 223251117787
BaseRepresentation
bin110010100001…
…1011000110100
31211211212000200
41211003120310
523240143140
62343440500
7441110355
oct145033064
954755020
1026490420
1113a53710
128a56130
135646708
143737d2c
1524d4030
hex1943634

26490420 has 144 divisors (see below), whose sum is σ = 92933568. Its totient is φ = 6036480.

The previous prime is 26490419. The next prime is 26490433. The reversal of 26490420 is 2409462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33267 + ... + 34053.

It is an arithmetic number, because the mean of its divisors is an integer number (645372).

Almost surely, 226490420 is an apocalyptic number.

26490420 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 26490420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46466784).

26490420 is an abundant number, since it is smaller than the sum of its proper divisors (66443148).

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

26490420 is a wasteful number, since it uses less digits than its factorization.

26490420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26490420 is about 5146.8844945268. The cubic root of 26490420 is about 298.1006671595.

Adding to 26490420 its reverse (2409462), we get a palindrome (28899882).

The spelling of 26490420 in words is "twenty-six million, four hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 787 935 990 1020 1122 1530 1574 1683 1870 1980 2244 2361 2805 3060 3148 3366 3740 3935 4722 5610 6732 7083 7870 8415 8657 9444 11220 11805 13379 14166 15740 16830 17314 23610 25971 26758 28332 33660 34628 35415 40137 43285 47220 51942 53516 66895 70830 77913 80274 86570 103884 120411 129855 133790 141660 147169 155826 160548 173140 200685 240822 259710 267580 294338 311652 389565 401370 441507 481644 519420 588676 602055 735845 779130 802740 883014 1204110 1324521 1471690 1558260 1766028 2207535 2408220 2649042 2943380 4415070 5298084 6622605 8830140 13245210 26490420