Search a number
-
+
27180140 = 22513107977
BaseRepresentation
bin110011110101…
…1110001101100
31220010220010212
41213223301230
523424231030
62410321552
7450012251
oct147536154
956126125
1027180140
1114384929
1291292b8
135828630
143877428
1525bd595
hex19ebc6c

27180140 has 48 divisors (see below), whose sum is σ = 62106912. Its totient is φ = 9931776.

The previous prime is 27180113. The next prime is 27180143. The reversal of 27180140 is 4108172.

It is not an unprimeable number, because it can be changed into a prime (27180143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27332 + ... + 28308.

It is an arithmetic number, because the mean of its divisors is an integer number (1293894).

Almost surely, 227180140 is an apocalyptic number.

27180140 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 27180140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053456).

27180140 is an abundant number, since it is smaller than the sum of its proper divisors (34926772).

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

27180140 is a wasteful number, since it uses less digits than its factorization.

27180140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 27180140 is about 5213.4575859021. The cubic root of 27180140 is about 300.6657068737.

The spelling of 27180140 in words is "twenty-seven million, one hundred eighty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 977 1070 1391 1954 2140 2782 3908 4885 5564 6955 9770 12701 13910 19540 25402 27820 50804 63505 104539 127010 209078 254020 418156 522695 1045390 1359007 2090780 2718014 5436028 6795035 13590070 27180140