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26541930 = 2351771733
BaseRepresentation
bin110010100111…
…1111101101010
31211221110200110
41211033331222
523243320210
62344515150
7441413502
oct145177552
954843613
1026541930
1113a89388
128a7bab6
135663cac
14374ca02
1524e4420
hex194ff6a

26541930 has 64 divisors (see below), whose sum is σ = 68491008. Its totient is φ = 6558720.

The previous prime is 26541929. The next prime is 26541937. The reversal of 26541930 is 3914562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26541937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35844 + ... + 36576.

It is an arithmetic number, because the mean of its divisors is an integer number (1070172).

Almost surely, 226541930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26541930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34245504).

26541930 is an abundant number, since it is smaller than the sum of its proper divisors (41949078).

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

26541930 is a wasteful number, since it uses less digits than its factorization.

26541930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 26541930 is about 5151.8860624047. The cubic root of 26541930 is about 298.2937586433.

It can be divided in two parts, 265 and 41930, that added together give a triangular number (42195 = T290).

The spelling of 26541930 in words is "twenty-six million, five hundred forty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 733 1065 1207 1466 2130 2199 2414 3621 3665 4398 6035 7242 7330 10995 12070 12461 18105 21990 24922 36210 37383 52043 62305 74766 104086 124610 156129 186915 260215 312258 373830 520430 780645 884731 1561290 1769462 2654193 4423655 5308386 8847310 13270965 26541930