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26413420 = 22511197189
BaseRepresentation
bin110010011000…
…0100101101100
31211200221101211
41210300211230
523230212140
62342044204
7440340025
oct144604554
954627354
1026413420
1113a00880
128a19664
13561a657
143717c4c
1524bb2ea
hex193096c

26413420 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 8870400.

The previous prime is 26413417. The next prime is 26413441. The reversal of 26413420 is 2431462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 26413391 and 26413400.

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 31 ways as a sum of consecutive naturals, for example, 296736 + ... + 296824.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 226413420 is an apocalyptic number.

26413420 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 26413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

26413420 is an abundant number, since it is smaller than the sum of its proper divisors (38904980).

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

26413420 is a wasteful number, since it uses less digits than its factorization.

26413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 26413420 is about 5139.3987975249. The cubic root of 26413420 is about 297.8115560100.

Adding to 26413420 its reverse (2431462), we get a palindrome (28844882).

The spelling of 26413420 in words is "twenty-six million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 71 76 89 95 110 142 178 190 209 220 284 355 356 380 418 445 710 781 836 890 979 1045 1349 1420 1562 1691 1780 1958 2090 2698 3124 3382 3905 3916 4180 4895 5396 6319 6745 6764 7810 8455 9790 12638 13490 14839 15620 16910 18601 19580 25276 26980 29678 31595 33820 37202 59356 63190 69509 74195 74404 93005 120061 126380 139018 148390 186010 240122 278036 296780 347545 372020 480244 600305 695090 1200610 1320671 1390180 2401220 2641342 5282684 6603355 13206710 26413420