Search a number
-
+
27380700180 = 22325953159617
BaseRepresentation
bin11001100000000001…
…000101010000010100
32121200012121200111200
4121200001011100110
5422033424401210
620324543232500
71656343053141
oct314001052024
977605550450
1027380700180
1110680767339
1253818a8730
132774825652
14147a6213c8
15aa3bd50c0
hex660045414

27380700180 has 72 divisors (see below), whose sum is σ = 83142462312. Its totient is φ = 7293812736.

The previous prime is 27380700163. The next prime is 27380700187. The reversal of 27380700180 is 8100708372.

It can be written as a sum of positive squares in 4 ways, for example, as 315843984 + 27064856196 = 17772^2 + 164514^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27380700187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91732 + ... + 251348.

It is an arithmetic number, because the mean of its divisors is an integer number (1154756421).

Almost surely, 227380700180 is an apocalyptic number.

27380700180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27380700180 is an abundant number, since it is smaller than the sum of its proper divisors (55761762132).

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

27380700180 is a wasteful number, since it uses less digits than its factorization.

27380700180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160585 (or 160580 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 27380700180 in words is "twenty-seven billion, three hundred eighty million, seven hundred thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 953 1906 2859 3812 4765 5718 8577 9530 11436 14295 17154 19060 28590 34308 42885 57180 85770 159617 171540 319234 478851 638468 798085 957702 1436553 1596170 1915404 2394255 2873106 3192340 4788510 5746212 7182765 9577020 14365530 28731060 152115001 304230002 456345003 608460004 760575005 912690006 1369035009 1521150010 1825380012 2281725015 2738070018 3042300020 4563450030 5476140036 6845175045 9126900060 13690350090 27380700180