Search a number
-
+
27515072340 = 22325721837359
BaseRepresentation
bin11001101000000001…
…101010111101010100
32122000120110111110100
4121220001222331110
5422322324303330
620350143254100
71662564153540
oct315001527524
978016414410
1027515072340
111073a5a5108
1253ba8aa330
1327966121c2
1414903dca20
15ab08c9060
hex66806af54

27515072340 has 72 divisors (see below), whose sum is σ = 95385588480. Its totient is φ = 6289159104.

The previous prime is 27515072323. The next prime is 27515072341. The reversal of 27515072340 is 4327051572.

27515072340 is a `hidden beast` number, since 275 + 150 + 7 + 234 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27515072295 and 27515072304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27515072341) 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, 10917420 + ... + 10919939.

It is an arithmetic number, because the mean of its divisors is an integer number (1324799840).

Almost surely, 227515072340 is an apocalyptic number.

27515072340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27515072340 is an abundant number, since it is smaller than the sum of its proper divisors (67870516140).

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

27515072340 is a wasteful number, since it uses less digits than its factorization.

27515072340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837381 (or 21837376 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 27515072340 in words is "twenty-seven billion, five hundred fifteen million, seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 21837359 43674718 65512077 87349436 109186795 131024154 152861513 196536231 218373590 262048308 305723026 327560385 393072462 436747180 458584539 611446052 655120770 764307565 786144924 917169078 982681155 1310241540 1375753617 1528615130 1834338156 1965362310 2292922695 2751507234 3057230260 3930724620 4585845390 5503014468 6878768085 9171690780 13757536170 27515072340