Search a number
-
+
26430000 = 24354881
BaseRepresentation
bin110010011010…
…0101000110000
31211201210010220
41210310220300
523231230000
62342253040
7440436252
oct144645060
954653126
1026430000
1113a12283
128a27180
13562506c
14371dcd2
1524c11a0
hex1934a30

26430000 has 100 divisors (see below), whose sum is σ = 85416408. Its totient is φ = 7040000.

The previous prime is 26429971. The next prime is 26430023. The reversal of 26430000 is 3462.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29560 + ... + 30440.

Almost surely, 226430000 is an apocalyptic number.

26430000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42708204).

26430000 is an abundant number, since it is smaller than the sum of its proper divisors (58986408).

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

26430000 is an equidigital number, since it uses as much as digits as its factorization.

26430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 26430000 is about 5141.0115736108. The cubic root of 26430000 is about 297.8738561943.

Adding to 26430000 its reverse (3462), we get a palindrome (26433462).

The spelling of 26430000 in words is "twenty-six million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 881 1000 1200 1250 1500 1762 1875 2000 2500 2643 3000 3524 3750 4405 5000 5286 6000 7048 7500 8810 10000 10572 13215 14096 15000 17620 21144 22025 26430 30000 35240 42288 44050 52860 66075 70480 88100 105720 110125 132150 176200 211440 220250 264300 330375 352400 440500 528600 550625 660750 881000 1057200 1101250 1321500 1651875 1762000 2202500 2643000 3303750 4405000 5286000 6607500 8810000 13215000 26430000