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1372480209 = 325322332
BaseRepresentation
bin101000111001110…
…0110001011010001
310112122120012220100
41101303212023101
510302323331314
6344105003013
746003614012
oct12163461321
93478505810
101372480209
11644802771
12323783469
1318b464689
14d03cb009
158075ac09
hex51ce62d1

1372480209 has 27 divisors (see below), whose sum is σ = 2029291537. Its totient is φ = 893870016.

The previous prime is 1372480169. The next prime is 1372480211. The reversal of 1372480209 is 9020842731.

The square root of 1372480209 is 37047.

It is a perfect power (a square), and thus also a powerful number.

1372480209 is a `hidden beast` number, since 1 + 372 + 4 + 80 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10870209 + 1361610000 = 3297^2 + 36900^2 .

It is not a de Polignac number, because 1372480209 - 215 = 1372447441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1372480309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5890357 + ... + 5890589.

Almost surely, 21372480209 is an apocalyptic number.

1372480209 is the 37047-th square number.

1372480209 is the 18524-th centered octagonal number.

It is an amenable number.

1372480209 is a deficient number, since it is larger than the sum of its proper divisors (656811328).

1372480209 is an frugal number, since it uses more digits than its factorization.

1372480209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 1372480209 is about 1111.3103614380.

Multiplying 1372480209 by its sum of digits (36), we get a square (49409287524 = 2222822).

The spelling of 1372480209 in words is "one billion, three hundred seventy-two million, four hundred eighty thousand, two hundred nine".

Divisors: 1 3 9 53 159 233 477 699 2097 2809 8427 12349 25281 37047 54289 111141 162867 488601 654497 1963491 2877317 5890473 8631951 25895853 152497801 457493403 1372480209