Search a number
-
+
26113164 = 22371159479
BaseRepresentation
bin110001110011…
…1010010001100
31211010200112020
41203213102030
523141110124
62331410140
7434646450
oct143472214
954120466
1026113164
1113816230
1288b3950
135543a9c
14367a660
15245c379
hex18e748c

26113164 has 96 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 6653760.

The previous prime is 26113141. The next prime is 26113177. The reversal of 26113164 is 46131162.

It is a nude number because it is divisible by every one of its digits.

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, 54277 + ... + 54755.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 226113164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26113164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

26113164 is an abundant number, since it is smaller than the sum of its proper divisors (51301236).

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

26113164 is a wasteful number, since it uses less digits than its factorization.

26113164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

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

The square root of 26113164 is about 5110.1041085285. The cubic root of 26113164 is about 296.6787897808.

It can be divided in two parts, 2611 and 3164, that added together give a palindrome (5775).

The spelling of 26113164 in words is "twenty-six million, one hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 479 649 708 826 924 958 1239 1298 1437 1652 1916 1947 2478 2596 2874 3353 3894 4543 4956 5269 5748 6706 7788 9086 10059 10538 13412 13629 15807 18172 20118 21076 27258 28261 31614 36883 40236 54516 56522 63228 73766 84783 110649 113044 147532 169566 197827 221298 310871 339132 395654 442596 593481 621742 791308 932613 1186962 1243484 1865226 2176097 2373924 3730452 4352194 6528291 8704388 13056582 26113164