Search a number
-
+
27442240 = 265712251
BaseRepresentation
bin110100010101…
…1110001000000
31220122012200021
41220223301000
524011122430
62420103224
7452153350
oct150536100
956565607
1027442240
1114543841
129234b14
1358baa17
143904b60
15262107a
hex1a2bc40

27442240 has 56 divisors (see below), whose sum is σ = 74688192. Its totient is φ = 9408000.

The previous prime is 27442237. The next prime is 27442249. The reversal of 27442240 is 4224472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27442249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886 + ... + 8365.

Almost surely, 227442240 is an apocalyptic number.

27442240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27442240 is an abundant number, since it is smaller than the sum of its proper divisors (47245952).

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

27442240 is a wasteful number, since it uses less digits than its factorization.

27442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12265 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 27442240 is about 5238.5341461138. The cubic root of 27442240 is about 301.6290637514.

The spelling of 27442240 in words is "twenty-seven million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 12251 24502 49004 61255 85757 98008 122510 171514 196016 245020 343028 392032 428785 490040 686056 784064 857570 980080 1372112 1715140 1960160 2744224 3430280 3920320 5488448 6860560 13721120 27442240