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26168130 = 2335195101
BaseRepresentation
bin110001111010…
…0101101000010
31211020110221000
41203310231002
523144340010
62332512430
7435265632
oct143645502
954213830
1026168130
111385355a
12891b716
135562b01
1436926c2
15246d7c0
hex18f4b42

26168130 has 64 divisors (see below), whose sum is σ = 73468800. Its totient is φ = 6609600.

The previous prime is 26168119. The next prime is 26168137. The reversal of 26168130 is 3186162.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 26168094 and 26168103.

It is not an unprimeable number, because it can be changed into a prime (26168137) 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, 2580 + ... + 7680.

It is an arithmetic number, because the mean of its divisors is an integer number (1147950).

Almost surely, 226168130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26168130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36734400).

26168130 is an abundant number, since it is smaller than the sum of its proper divisors (47300670).

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

26168130 is a wasteful number, since it uses less digits than its factorization.

26168130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5130 counting only the distinct ones).

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

The square root of 26168130 is about 5115.4794496704. The cubic root of 26168130 is about 296.8868051446.

The spelling of 26168130 in words is "twenty-six million, one hundred sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5101 5130 10202 15303 25505 30606 45909 51010 76515 91818 96919 137727 153030 193838 229545 275454 290757 459090 484595 581514 688635 872271 969190 1377270 1453785 1744542 2616813 2907570 4361355 5233626 8722710 13084065 26168130