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26027001 = 3571113107
BaseRepresentation
bin110001101001…
…0001111111001
31210222022100000
41203102033321
523130331001
62325503213
7434140320
oct143221771
953868300
1026027001
1113767520
128871b09
1355137c0
1436570b7
152441a86
hex18d23f9

26027001 has 96 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 12363840.

The previous prime is 26026991. The next prime is 26027003. The reversal of 26027001 is 10072062.

It is a happy number.

It is not a de Polignac number, because 26027001 - 26 = 26026937 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26027003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243190 + ... + 243296.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 226027001 is an apocalyptic number.

26027001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26027001 is an abundant number, since it is smaller than the sum of its proper divisors (26808327).

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

26027001 is a wasteful number, since it uses less digits than its factorization.

26027001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 26027001 is about 5101.6664924317. Note that the first 3 decimals coincide. The cubic root of 26027001 is about 296.3521231001.

Adding to 26027001 its reverse (10072062), we get a palindrome (36099063).

It can be divided in two parts, 260 and 27001, that added together give a triangular number (27261 = T233).

The spelling of 26027001 in words is "twenty-six million, twenty-seven thousand, one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 107 117 143 189 231 243 273 297 321 351 429 567 693 749 819 891 963 1001 1053 1177 1287 1391 1701 2079 2247 2457 2673 2889 3003 3159 3531 3861 4173 6237 6741 7371 8239 8667 9009 9737 10593 11583 12519 15301 18711 20223 22113 24717 26001 27027 29211 31779 34749 37557 45903 60669 74151 81081 87633 95337 107107 112671 137709 182007 222453 243243 262899 286011 321321 338013 413127 667359 788697 963963 1239381 2002077 2366091 2891889 3718143 8675667 26027001