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26306920 = 2355971157
BaseRepresentation
bin110010001011…
…0100101101000
31211111112022101
41210112211220
523213310140
62335503144
7436414363
oct144264550
954445271
1026306920
1113938862
128987ab4
1355b1033
1436cb0da
15249999a
hex1916968

26306920 has 64 divisors (see below), whose sum is σ = 61430400. Its totient is φ = 10133760.

The previous prime is 26306911. The next prime is 26306971. The reversal of 26306920 is 2960362.

It is a plaindrome in base 15.

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 15 ways as a sum of consecutive naturals, for example, 167482 + ... + 167638.

It is an arithmetic number, because the mean of its divisors is an integer number (959850).

Almost surely, 226306920 is an apocalyptic number.

26306920 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 26306920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715200).

26306920 is an abundant number, since it is smaller than the sum of its proper divisors (35123480).

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

26306920 is a wasteful number, since it uses less digits than its factorization.

26306920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 26306920 is about 5129.0271982122. The cubic root of 26306920 is about 297.4107540130.

The spelling of 26306920 in words is "twenty-six million, three hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 71 118 142 157 236 284 295 314 355 472 568 590 628 710 785 1180 1256 1420 1570 2360 2840 3140 4189 6280 8378 9263 11147 16756 18526 20945 22294 33512 37052 41890 44588 46315 55735 74104 83780 89176 92630 111470 167560 185260 222940 370520 445880 657673 1315346 2630692 3288365 5261384 6576730 13153460 26306920