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26106340 = 22513314179
BaseRepresentation
bin110001110010…
…1100111100100
31211010100011111
41203211213210
523140400330
62331314404
7434620531
oct143454744
954110144
1026106340
1113811097
1288aba04
135540950
143677d88
15245a32a
hex18e59e4

26106340 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 8985600.

The previous prime is 26106337. The next prime is 26106341. The reversal of 26106340 is 4360162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26106341) 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, 330421 + ... + 330499.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 226106340 is an apocalyptic number.

26106340 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 26106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

26106340 is an abundant number, since it is smaller than the sum of its proper divisors (37115420).

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

26106340 is a wasteful number, since it uses less digits than its factorization.

26106340 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 864, while the sum is 22.

The square root of 26106340 is about 5109.4363681330. The cubic root of 26106340 is about 296.6529444199.

The spelling of 26106340 in words is "twenty-six million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 41 52 62 65 79 82 124 130 155 158 164 205 260 310 316 395 403 410 533 620 790 806 820 1027 1066 1271 1580 1612 2015 2054 2132 2449 2542 2665 3239 4030 4108 4898 5084 5135 5330 6355 6478 8060 9796 10270 10660 12245 12710 12956 16195 16523 20540 24490 25420 31837 32390 33046 42107 48980 63674 64780 66092 82615 84214 100409 127348 159185 165230 168428 200818 210535 318370 330460 401636 421070 502045 636740 842140 1004090 1305317 2008180 2610634 5221268 6526585 13053170 26106340