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26013420 = 2233567719
BaseRepresentation
bin110001100111…
…0111011101100
31210221121201000
41203032323230
523124412140
62325320300
7434052606
oct143167354
953847630
1026013420
11137582a4
128866090
13550a574
143652176
15243ca30
hex18ceeec

26013420 has 96 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 6823872.

The previous prime is 26013401. The next prime is 26013431. The reversal of 26013420 is 2431062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26013393 and 26013402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35821 + ... + 36539.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 226013420 is an apocalyptic number.

26013420 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 26013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

26013420 is an abundant number, since it is smaller than the sum of its proper divisors (56239380).

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

26013420 is a wasteful number, since it uses less digits than its factorization.

26013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26013420 is about 5100.3352830966. The cubic root of 26013420 is about 296.3005681984.

Adding to 26013420 its reverse (2431062), we get a palindrome (28444482).

The spelling of 26013420 in words is "twenty-six million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 719 804 1005 1206 1340 1438 1809 2010 2157 2412 2876 3015 3595 3618 4020 4314 6030 6471 7190 7236 8628 9045 10785 12060 12942 14380 18090 19413 21570 25884 32355 36180 38826 43140 48173 64710 77652 96346 97065 129420 144519 192692 194130 240865 289038 388260 433557 481730 578076 722595 867114 963460 1300671 1445190 1734228 2167785 2601342 2890380 4335570 5202684 6503355 8671140 13006710 26013420