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26139132 = 22331723619
BaseRepresentation
bin110001110110…
…1100111111100
31211012000011000
41203231213330
523142423012
62332130300
7435115245
oct143554774
954160130
1026139132
1113833798
128906990
135552856
143685ccc
152464ddc
hex18ed9fc

26139132 has 96 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 7831296.

The previous prime is 26139083. The next prime is 26139133. The reversal of 26139132 is 23193162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26139096 and 26139105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26139133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41919 + ... + 42537.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 226139132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26139132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

26139132 is an abundant number, since it is smaller than the sum of its proper divisors (48856068).

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

26139132 is a wasteful number, since it uses less digits than its factorization.

26139132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 26139132 is about 5112.6443255912. The cubic root of 26139132 is about 296.7771003806. Note that the first 3 decimals are identical.

It can be divided in two parts, 261 and 39132, that added together give a palindrome (39393).

The spelling of 26139132 in words is "twenty-six million, one hundred thirty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 619 621 782 828 918 1173 1238 1242 1564 1836 1857 2346 2476 2484 3519 3714 4692 5571 7038 7428 10523 10557 11142 14076 14237 16713 21046 21114 22284 28474 31569 33426 42092 42228 42711 56948 63138 66852 85422 94707 126276 128133 170844 189414 242029 256266 284121 378828 384399 484058 512532 568242 726087 768798 968116 1136484 1452174 1537596 2178261 2904348 4356522 6534783 8713044 13069566 26139132