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26418340 = 225131743139
BaseRepresentation
bin110010011000…
…1110010100100
31211201012011001
41210301302210
523230341330
62342123044
7440360254
oct144616244
954635131
1026418340
1113a04543
128a20484
13561c970
143719964
1524bc9ca
hex1931ca4

26418340 has 96 divisors (see below), whose sum is σ = 65197440. Its totient is φ = 8902656.

The previous prime is 26418331. The next prime is 26418349. The reversal of 26418340 is 4381462.

It is an interprime number because it is at equal distance from previous prime (26418331) and next prime (26418349).

It is a junction number, because it is equal to n+sod(n) for n = 26418299 and 26418308.

It is not an unprimeable number, because it can be changed into a prime (26418349) by changing a digit.

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, 189991 + ... + 190129.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 226418340 is an apocalyptic number.

26418340 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 26418340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598720).

26418340 is an abundant number, since it is smaller than the sum of its proper divisors (38779100).

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

26418340 is a wasteful number, since it uses less digits than its factorization.

26418340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 26418340 is about 5139.8774304452. The cubic root of 26418340 is about 297.8300458773.

The spelling of 26418340 in words is "twenty-six million, four hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 43 52 65 68 85 86 130 139 170 172 215 221 260 278 340 430 442 556 559 695 731 860 884 1105 1118 1390 1462 1807 2210 2236 2363 2780 2795 2924 3614 3655 4420 4726 5590 5977 7228 7310 9035 9452 9503 11180 11815 11954 14620 18070 19006 23630 23908 29885 30719 36140 38012 47260 47515 59770 61438 77701 95030 101609 119540 122876 153595 155402 190060 203218 307190 310804 388505 406436 508045 614380 777010 1016090 1320917 1554020 2032180 2641834 5283668 6604585 13209170 26418340