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26201140 = 22572379103
BaseRepresentation
bin110001111110…
…0110000110100
31211022011012121
41203330300310
523201414030
62333325324
7435464110
oct143746064
954264177
1026201140
1113876339
128936844
135574b44
1436a0740
15247847a
hex18fcc34

26201140 has 96 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 8401536.

The previous prime is 26201111. The next prime is 26201141. The reversal of 26201140 is 4110262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26201141) 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, 254329 + ... + 254431.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 226201140 is an apocalyptic number.

26201140 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 26201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

26201140 is an abundant number, since it is smaller than the sum of its proper divisors (40891340).

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

26201140 is a wasteful number, since it uses less digits than its factorization.

26201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 26201140 is about 5118.7049143314. The cubic root of 26201140 is about 297.0115894460.

The spelling of 26201140 in words is "twenty-six million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 79 92 103 115 140 158 161 206 230 316 322 395 412 460 515 553 644 721 790 805 1030 1106 1442 1580 1610 1817 2060 2212 2369 2765 2884 3220 3605 3634 4738 5530 7210 7268 8137 9085 9476 11060 11845 12719 14420 16274 16583 18170 23690 25438 32548 33166 36340 40685 47380 50876 56959 63595 66332 81370 82915 113918 127190 162740 165830 187151 227836 254380 284795 331660 374302 569590 748604 935755 1139180 1310057 1871510 2620114 3743020 5240228 6550285 13100570 26201140