Search a number
-
+
26420000 = 25541321
BaseRepresentation
bin110010011001…
…0001100100000
31211201021102112
41210302030200
523230420000
62342134452
7440365145
oct144621440
954637375
1026420000
1113a05812
128a21428
135620649
14371a3cc
1524bd235
hex1932320

26420000 has 60 divisors (see below), whose sum is σ = 65046366. Its totient is φ = 10560000.

The previous prime is 26419993. The next prime is 26420011. The reversal of 26420000 is 2462.

It can be written as a sum of positive squares in 5 ways, for example, as 3341584 + 23078416 = 1828^2 + 4804^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19340 + ... + 20660.

Almost surely, 226420000 is an apocalyptic number.

26420000 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 26420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32523183).

26420000 is an abundant number, since it is smaller than the sum of its proper divisors (38626366).

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

26420000 is an equidigital number, since it uses as much as digits as its factorization.

26420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 26420000 is about 5140.0389103586. The cubic root of 26420000 is about 297.8362838105.

Adding to 26420000 its reverse (2462), we get a palindrome (26422462).

The spelling of 26420000 in words is "twenty-six million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1321 2000 2500 2642 4000 5000 5284 6605 10000 10568 13210 20000 21136 26420 33025 42272 52840 66050 105680 132100 165125 211360 264200 330250 528400 660500 825625 1056800 1321000 1651250 2642000 3302500 5284000 6605000 13210000 26420000