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26948130 = 23511127643
BaseRepresentation
bin110011011001…
…1001000100010
31212201002212220
41212303020202
523344320010
62401331510
7445024656
oct146631042
955632786
1026948130
1114236590
129036b96
135776b51
143816a66
152574970
hex19b3222

26948130 has 64 divisors (see below), whose sum is σ = 71221248. Its totient is φ = 6471360.

The previous prime is 26948123. The next prime is 26948147. The reversal of 26948130 is 3184962.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26948091 and 26948100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41589 + ... + 42231.

It is an arithmetic number, because the mean of its divisors is an integer number (1112832).

Almost surely, 226948130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26948130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35610624).

26948130 is an abundant number, since it is smaller than the sum of its proper divisors (44273118).

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

26948130 is a wasteful number, since it uses less digits than its factorization.

26948130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 26948130 is about 5191.1588301650. The cubic root of 26948130 is about 299.8077657352.

The spelling of 26948130 in words is "twenty-six million, nine hundred forty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 643 762 1270 1286 1397 1905 1929 2794 3215 3810 3858 4191 6430 6985 7073 8382 9645 13970 14146 19290 20955 21219 35365 41910 42438 70730 81661 106095 163322 212190 244983 408305 489966 816610 898271 1224915 1796542 2449830 2694813 4491355 5389626 8982710 13474065 26948130