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26341146 = 23313157239
BaseRepresentation
bin110010001111…
…0111100011010
31211120021021000
41210132330122
523220404041
62340325430
7436616226
oct144367432
954507230
1026341146
1113961547
1289a3876
1355c37a0
1436d9786
1524a4bb6
hex191ef1a

26341146 has 64 divisors (see below), whose sum is σ = 63705600. Its totient is φ = 8019648.

The previous prime is 26341123. The next prime is 26341169. The reversal of 26341146 is 64114362.

It is an interprime number because it is at equal distance from previous prime (26341123) and next prime (26341169).

It is a super-4 number, since 4×263411464 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 110095 + ... + 110333.

It is an arithmetic number, because the mean of its divisors is an integer number (995400).

Almost surely, 226341146 is an apocalyptic number.

26341146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26341146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31852800).

26341146 is an abundant number, since it is smaller than the sum of its proper divisors (37364454).

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

26341146 is a wasteful number, since it uses less digits than its factorization.

26341146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 26341146 is about 5132.3626138456. The cubic root of 26341146 is about 297.5396778753.

The spelling of 26341146 in words is "twenty-six million, three hundred forty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 157 234 239 314 351 471 478 702 717 942 1413 1434 2041 2151 2826 3107 4082 4239 4302 6123 6214 6453 8478 9321 12246 12906 18369 18642 27963 36738 37523 55107 55926 75046 83889 110214 112569 167778 225138 337707 487799 675414 975598 1013121 1463397 2026242 2926794 4390191 8780382 13170573 26341146