Search a number
-
+
26111020 = 22513293463
BaseRepresentation
bin110001110011…
…0110000101100
31211010120120211
41203212300230
523141023040
62331352204
7434640265
oct143466054
954116524
1026111020
1113814661
1288b2664
135542b10
14367996c
15245b8ea
hex18e6c2c

26111020 has 48 divisors (see below), whose sum is σ = 61104960. Its totient is φ = 9305856.

The previous prime is 26110999. The next prime is 26111027. The reversal of 26111020 is 2011162.

It is a super-3 number, since 3×261110203 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (26111027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5809 + ... + 9271.

It is an arithmetic number, because the mean of its divisors is an integer number (1273020).

Almost surely, 226111020 is an apocalyptic number.

26111020 is a gapful number since it is divisible by the number (20) 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 26111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30552480).

26111020 is an abundant number, since it is smaller than the sum of its proper divisors (34993940).

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

26111020 is a wasteful number, since it uses less digits than its factorization.

26111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 26111020 is about 5109.8943237605. The cubic root of 26111020 is about 296.6706700353.

Adding to 26111020 its reverse (2011162), we get a palindrome (28122182).

The spelling of 26111020 in words is "twenty-six million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3463 3770 6926 7540 13852 17315 34630 45019 69260 90038 100427 180076 200854 225095 401708 450190 502135 900380 1004270 1305551 2008540 2611102 5222204 6527755 13055510 26111020