Search a number
-
+
26142660 = 22325311467
BaseRepresentation
bin110001110111…
…0011111000100
31211012011222200
41203232133010
523143031120
62332154500
7435131445
oct143563704
954164880
1026142660
1113836405
128908a30
13555433b
1436872cc
152465e90
hex18ee7c4

26142660 has 72 divisors (see below), whose sum is σ = 79724736. Its totient is φ = 6934080.

The previous prime is 26142653. The next prime is 26142661. The reversal of 26142660 is 6624162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26142661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55747 + ... + 56213.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 226142660 is an apocalyptic number.

26142660 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 26142660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39862368).

26142660 is an abundant number, since it is smaller than the sum of its proper divisors (53582076).

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

26142660 is a wasteful number, since it uses less digits than its factorization.

26142660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26142660 is about 5112.9893408846. The cubic root of 26142660 is about 296.7904517868.

The spelling of 26142660 in words is "twenty-six million, one hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 467 622 933 934 1244 1401 1555 1866 1868 2335 2799 2802 3110 3732 4203 4665 4670 5598 5604 6220 7005 8406 9330 9340 11196 13995 14010 16812 18660 21015 27990 28020 42030 55980 84060 145237 290474 435711 580948 726185 871422 1307133 1452370 1742844 2178555 2614266 2904740 4357110 5228532 6535665 8714220 13071330 26142660