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26840268 = 22337132731
BaseRepresentation
bin110011001100…
…0110011001100
31212111121221000
41212120303030
523332342033
62355140300
7444065340
oct146306314
955447830
1026840268
1114172544
128ba4690
135739a20
1437c9620
152552a13
hex1998ccc

26840268 has 96 divisors (see below), whose sum is σ = 85675520. Its totient is φ = 7076160.

The previous prime is 26840251. The next prime is 26840273. The reversal of 26840268 is 86204862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8463 + ... + 11193.

Almost surely, 226840268 is an apocalyptic number.

26840268 is a gapful number since it is divisible by the number (28) 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 26840268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42837760).

26840268 is an abundant number, since it is smaller than the sum of its proper divisors (58835252).

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

26840268 is a wasteful number, since it uses less digits than its factorization.

26840268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26840268 is about 5180.7594037940. The cubic root of 26840268 is about 299.4072295153.

The spelling of 26840268 in words is "twenty-six million, eight hundred forty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 2731 3276 4914 5462 8193 9828 10924 16386 19117 24579 32772 35503 38234 49158 57351 71006 73737 76468 98316 106509 114702 142012 147474 172053 213018 229404 248521 294948 319527 344106 426036 497042 516159 639054 688212 745563 958581 994084 1032318 1278108 1491126 1917162 2064636 2236689 2982252 3834324 4473378 6710067 8946756 13420134 26840268