Search a number
-
+
27418280 = 2351761661
BaseRepresentation
bin110100010010…
…1111010101000
31220120222210212
41220211322220
524004341110
62415400252
7452023451
oct150457250
956528725
1027418280
111452783a
129223088
1358acb46
1438da128
152618e05
hex1a25ea8

27418280 has 64 divisors (see below), whose sum is σ = 66491280. Its totient is φ = 10137600.

The previous prime is 27418267. The next prime is 27418301. The reversal of 27418280 is 8281472.

It can be written as a sum of positive squares in 8 ways, for example, as 11847364 + 15570916 = 3442^2 + 3946^2 .

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, 41150 + ... + 41810.

Almost surely, 227418280 is an apocalyptic number.

27418280 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 27418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33245640).

27418280 is an abundant number, since it is smaller than the sum of its proper divisors (39073000).

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

27418280 is a wasteful number, since it uses less digits than its factorization.

27418280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 27418280 is about 5236.2467474327. The cubic root of 27418280 is about 301.5412534182.

The spelling of 27418280 in words is "twenty-seven million, four hundred eighteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 661 680 1037 1220 1322 2074 2440 2644 3305 4148 5185 5288 6610 8296 10370 11237 13220 20740 22474 26440 40321 41480 44948 56185 80642 89896 112370 161284 201605 224740 322568 403210 449480 685457 806420 1370914 1612840 2741828 3427285 5483656 6854570 13709140 27418280