Search a number
-
+
27402420 = 2235617487
BaseRepresentation
bin110100010001…
…0000010110100
31220120012001110
41220202002310
524003334140
62415155020
7451626303
oct150420264
956505043
1027402420
1114516931
129215a70
1358a5866
1438d443a
152614380
hex1a220b4

27402420 has 48 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 7186560.

The previous prime is 27402413. The next prime is 27402439. The reversal of 27402420 is 2420472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 7403.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 227402420 is an apocalyptic number.

27402420 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 27402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

27402420 is an abundant number, since it is smaller than the sum of its proper divisors (50592588).

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

27402420 is a wasteful number, since it uses less digits than its factorization.

27402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 27402420 is about 5234.7320848349. The cubic root of 27402420 is about 301.4831004061.

Adding to 27402420 its reverse (2420472), we get a palindrome (29822892).

The spelling of 27402420 in words is "twenty-seven million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 7487 14974 22461 29948 37435 44922 74870 89844 112305 149740 224610 449220 456707 913414 1370121 1826828 2283535 2740242 4567070 5480484 6850605 9134140 13701210 27402420