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26134220 = 22572941157
BaseRepresentation
bin110001110110…
…0011011001100
31211011202102002
41203230123030
523142243340
62332051432
7435065030
oct143543314
954152362
1026134220
1113830032
128903b78
135550548
1436841c0
152463715
hex18ec6cc

26134220 has 96 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 8386560.

The previous prime is 26134193. The next prime is 26134223. The reversal of 26134220 is 2243162.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 26134192 and 26134201.

It is not an unprimeable number, because it can be changed into a prime (26134223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166382 + ... + 166538.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 226134220 is an apocalyptic number.

26134220 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 26134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

26134220 is an abundant number, since it is smaller than the sum of its proper divisors (40756660).

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

26134220 is a wasteful number, since it uses less digits than its factorization.

26134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26134220 is about 5112.1639253842. The cubic root of 26134220 is about 296.7585093470.

Adding to 26134220 its reverse (2243162), we get a palindrome (28377382).

The spelling of 26134220 in words is "twenty-six million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 41 58 70 82 116 140 145 157 164 203 205 287 290 314 406 410 574 580 628 785 812 820 1015 1099 1148 1189 1435 1570 2030 2198 2378 2870 3140 4060 4396 4553 4756 5495 5740 5945 6437 8323 9106 10990 11890 12874 16646 18212 21980 22765 23780 25748 31871 32185 33292 41615 45059 45530 63742 64370 83230 90118 91060 127484 128740 159355 166460 180236 186673 225295 318710 373346 450590 637420 746692 901180 933365 1306711 1866730 2613422 3733460 5226844 6533555 13067110 26134220