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26131380 = 223511172137
BaseRepresentation
bin110001110101…
…1101110110100
31211011121111220
41203223232310
523142201010
62332030340
7435053532
oct143535664
954147456
1026131380
1113828990
1289023b0
13554c172
143683152
152462970
hex18ebbb4

26131380 has 144 divisors (see below), whose sum is σ = 85409856. Its totient is φ = 5918720.

The previous prime is 26131331. The next prime is 26131411. The reversal of 26131380 is 8313162.

It is a self number, because there is not a number n which added to its sum of digits gives 26131380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190672 + ... + 190808.

It is an arithmetic number, because the mean of its divisors is an integer number (593124).

Almost surely, 226131380 is an apocalyptic number.

26131380 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 26131380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42704928).

26131380 is an abundant number, since it is smaller than the sum of its proper divisors (59278476).

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

26131380 is a wasteful number, since it uses less digits than its factorization.

26131380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 26131380 is about 5111.8861489669. The cubic root of 26131380 is about 296.7477593968.

It can be divided in two parts, 2613 and 1380, that added together give a palindrome (3993).

The spelling of 26131380 in words is "twenty-six million, one hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 137 165 170 187 204 220 255 274 289 330 340 374 411 510 548 561 578 660 685 748 822 867 935 1020 1122 1156 1370 1445 1507 1644 1734 1870 2055 2244 2329 2740 2805 2890 3014 3179 3468 3740 4110 4335 4521 4658 5610 5780 6028 6358 6987 7535 8220 8670 9042 9316 9537 11220 11645 12716 13974 15070 15895 17340 18084 19074 22605 23290 25619 27948 30140 31790 34935 38148 39593 45210 46580 47685 51238 63580 69870 76857 79186 90420 95370 102476 118779 128095 139740 153714 158372 190740 197965 237558 256190 307428 384285 395930 435523 475116 512380 593895 768570 791860 871046 1187790 1306569 1537140 1742092 2177615 2375580 2613138 4355230 5226276 6532845 8710460 13065690 26131380