Search a number
-
+
27740260 = 2251783983
BaseRepresentation
bin110100111010…
…0100001100100
31221012100111001
41221310201210
524100142020
62430323044
7454534252
oct151644144
957170431
1027740260
1114727739
129359484
135993572
1439815d2
15267e50a
hex1a74864

27740260 has 48 divisors (see below), whose sum is σ = 62487936. Its totient is φ = 10307072.

The previous prime is 27740249. The next prime is 27740263. The reversal of 27740260 is 6204772.

It is not an unprimeable number, because it can be changed into a prime (27740263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27729 + ... + 28711.

It is an arithmetic number, because the mean of its divisors is an integer number (1301832).

Almost surely, 227740260 is an apocalyptic number.

27740260 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 27740260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31243968).

27740260 is an abundant number, since it is smaller than the sum of its proper divisors (34747676).

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

27740260 is a wasteful number, since it uses less digits than its factorization.

27740260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 27740260 is about 5266.9023154032. The cubic root of 27740260 is about 302.7170220534.

The spelling of 27740260 in words is "twenty-seven million, seven hundred forty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 983 1411 1660 1966 2822 3932 4915 5644 7055 9830 14110 16711 19660 28220 33422 66844 81589 83555 163178 167110 326356 334220 407945 815890 1387013 1631780 2774026 5548052 6935065 13870130 27740260