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26830116 = 22373067
BaseRepresentation
bin110011001011…
…0010100100100
31212111010000000
41212112110210
523332030431
62355021300
7444023625
oct146262444
955433000
1026830116
1114165955
128b9a830
135735211
1437c5a4c
15254e9e6
hex1996524

26830116 has 48 divisors (see below), whose sum is σ = 70441280. Its totient is φ = 8940456.

The previous prime is 26830093. The next prime is 26830117. The reversal of 26830116 is 61103862.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 26830116.

It is not an unprimeable number, because it can be changed into a prime (26830117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7215 + ... + 10281.

Almost surely, 226830116 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 26830116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35220640).

26830116 is an abundant number, since it is smaller than the sum of its proper divisors (43611164).

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

26830116 is an equidigital number, since it uses as much as digits as its factorization.

26830116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 26830116 is about 5179.7795319878. The cubic root of 26830116 is about 299.3694757255.

Adding to 26830116 its reverse (61103862), we get a palindrome (87933978).

The spelling of 26830116 in words is "twenty-six million, eight hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 3067 4374 6134 8748 9201 12268 18402 27603 36804 55206 82809 110412 165618 248427 331236 496854 745281 993708 1490562 2235843 2981124 4471686 6707529 8943372 13415058 26830116