Search a number
-
+
26960180 = 22513971069
BaseRepresentation
bin110011011011…
…0000100110100
31212201201102012
41212312010310
523400211210
62401503352
7445105052
oct146660464
955651365
1026960180
1114244645
129041b58
13577c490
14381b1d2
152578305
hex19b6134

26960180 has 48 divisors (see below), whose sum is σ = 61657680. Its totient is φ = 9842688.

The previous prime is 26960179. The next prime is 26960189. The reversal of 26960180 is 8106962.

It can be written as a sum of positive squares in 8 ways, for example, as 2477476 + 24482704 = 1574^2 + 4948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26960189) 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, 24686 + ... + 25754.

It is an arithmetic number, because the mean of its divisors is an integer number (1284535).

Almost surely, 226960180 is an apocalyptic number.

26960180 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 26960180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30828840).

26960180 is an abundant number, since it is smaller than the sum of its proper divisors (34697500).

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

26960180 is a wasteful number, since it uses less digits than its factorization.

26960180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 26960180 is about 5192.3193276223. The cubic root of 26960180 is about 299.8524459564.

The spelling of 26960180 in words is "twenty-six million, nine hundred sixty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1069 1261 1940 2138 2522 4276 5044 5345 6305 10690 12610 13897 21380 25220 27794 55588 69485 103693 138970 207386 277940 414772 518465 1036930 1348009 2073860 2696018 5392036 6740045 13480090 26960180