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26130276 = 223729103
BaseRepresentation
bin110001110101…
…1011101100100
31211011120000000
41203223131210
523142132101
62332021300
7435050364
oct143533544
954146000
1026130276
1113828077
128901830
13554b803
1436829a4
152462486
hex18eb764

26130276 has 96 divisors (see below), whose sum is σ = 71635200. Its totient is φ = 8328096.

The previous prime is 26130271. The next prime is 26130281. The reversal of 26130276 is 67203162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26130271) and next prime (26130281).

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

It is not an unprimeable number, because it can be changed into a prime (26130271) 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, 253641 + ... + 253743.

It is an arithmetic number, because the mean of its divisors is an integer number (746200).

Almost surely, 226130276 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 26130276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35817600).

26130276 is an abundant number, since it is smaller than the sum of its proper divisors (45504924).

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

26130276 is a wasteful number, since it uses less digits than its factorization.

26130276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 26130276 is about 5111.7781642008. The cubic root of 26130276 is about 296.7435803326.

The spelling of 26130276 in words is "twenty-six million, one hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 103 108 116 162 174 206 243 261 309 324 348 412 486 522 618 729 783 927 972 1044 1236 1458 1566 1854 2187 2349 2781 2916 2987 3132 3708 4374 4698 5562 5974 7047 8343 8748 8961 9396 11124 11948 14094 16686 17922 21141 25029 26883 28188 33372 35844 42282 50058 53766 63423 75087 80649 84564 100116 107532 126846 150174 161298 225261 241947 253692 300348 322596 450522 483894 725841 901044 967788 1451682 2177523 2903364 4355046 6532569 8710092 13065138 26130276