Search a number
-
+
1376080560 = 24325101127149
BaseRepresentation
bin101001000000101…
…0101001010110000
310112220100010122200
41102001111022300
510304234034220
6344314103200
746046330451
oct12201251260
93486303580
101376080560
11646841768
12324a1ab00
1318c12536a
14d0a87128
1580c1c890
hex520552b0

1376080560 has 240 divisors, whose sum is σ = 4735411200. Its totient is φ = 358041600.

The previous prime is 1376080553. The next prime is 1376080571. The reversal of 1376080560 is 650806731.

1376080560 is a `hidden beast` number, since 1 + 37 + 60 + 8 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9235366 + ... + 9235514.

It is an arithmetic number, because the mean of its divisors is an integer number (19730880).

Almost surely, 21376080560 is an apocalyptic number.

1376080560 is a gapful number since it is divisible by the number (10) 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 1376080560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367705600).

1376080560 is an abundant number, since it is smaller than the sum of its proper divisors (3359330640).

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

1376080560 is a wasteful number, since it uses less digits than its factorization.

1376080560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1376080560 is about 37095.5598421159. The cubic root of 1376080560 is about 1112.2812591863.

The spelling of 1376080560 in words is "one billion, three hundred seventy-six million, eighty thousand, five hundred sixty".