Search a number
-
+
26142180 = 22351672609
BaseRepresentation
bin110001110111…
…0010111100100
31211012011022220
41203232113210
523143022210
62332152340
7435130161
oct143562744
954164286
1026142180
1113836009
1289086b0
13555405c
143687068
152465c70
hex18ee5e4

26142180 has 48 divisors (see below), whose sum is σ = 73664640. Its totient is φ = 6926848.

The previous prime is 26142163. The next prime is 26142241. The reversal of 26142180 is 8124162.

It is a self number, because there is not a number n which added to its sum of digits gives 26142180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8716 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 226142180 is an apocalyptic number.

26142180 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 26142180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

26142180 is an abundant number, since it is smaller than the sum of its proper divisors (47522460).

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

26142180 is a wasteful number, since it uses less digits than its factorization.

26142180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 26142180 is about 5112.9424013967. The cubic root of 26142180 is about 296.7886353396.

The spelling of 26142180 in words is "twenty-six million, one hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 2609 3340 5010 5218 7827 10020 10436 13045 15654 26090 31308 39135 52180 78270 156540 435703 871406 1307109 1742812 2178515 2614218 4357030 5228436 6535545 8714060 13071090 26142180