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26402020 = 22517196167
BaseRepresentation
bin110010010110…
…1110011100100
31211200100202121
41210231303210
523224331040
62341515324
7440261551
oct144556344
954610677
1026402020
11139a3257
128a12b44
1356153c8
143713a28
1524b7c4a
hex192dce4

26402020 has 96 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 9123840.

The previous prime is 26402017. The next prime is 26402021. The reversal of 26402020 is 2020462.

It is a junction number, because it is equal to n+sod(n) for n = 26401985 and 26402003.

It is not an unprimeable number, because it can be changed into a prime (26402021) 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, 394027 + ... + 394093.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 226402020 is an apocalyptic number.

26402020 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 26402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

26402020 is an abundant number, since it is smaller than the sum of its proper divisors (37343900).

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

26402020 is a wasteful number, since it uses less digits than its factorization.

26402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 26402020 is about 5138.2895986894. The cubic root of 26402020 is about 297.7687048092.

Adding to 26402020 its reverse (2020462), we get a palindrome (28422482).

The spelling of 26402020 in words is "twenty-six million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 61 67 68 76 85 95 122 134 170 190 244 268 305 323 335 340 380 610 646 670 1037 1139 1159 1220 1273 1292 1340 1615 2074 2278 2318 2546 3230 4087 4148 4556 4636 5092 5185 5695 5795 6365 6460 8174 10370 11390 11590 12730 16348 19703 20435 20740 21641 22780 23180 25460 39406 40870 43282 69479 77653 78812 81740 86564 98515 108205 138958 155306 197030 216410 277916 310612 347395 388265 394060 432820 694790 776530 1320101 1389580 1553060 2640202 5280404 6600505 13201010 26402020