Search a number
-
+
1373056000 = 2105317631
BaseRepresentation
bin101000111010111…
…0010110000000000
310112200122110201221
41101311302300000
510303000243000
6344125204424
746011532501
oct12165626000
93480573657
101373056000
11645066328
12323a00714
1318b606794
14d04daba8
158082161a
hex51d72c00

1373056000 has 176 divisors, whose sum is σ = 3632720832. Its totient is φ = 516096000.

The previous prime is 1373055989. The next prime is 1373056057. The reversal of 1373056000 is 6503731.

It is a happy number.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175685 + ... + 2176315.

Almost surely, 21373056000 is an apocalyptic number.

1373056000 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 1373056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816360416).

1373056000 is an abundant number, since it is smaller than the sum of its proper divisors (2259664832).

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

1373056000 is an equidigital number, since it uses as much as digits as its factorization.

1373056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 1373056000 is about 37054.7702732050. The cubic root of 1373056000 is about 1111.4657475384.

Adding to 1373056000 its reverse (6503731), we get a palindrome (1379559731).

The spelling of 1373056000 in words is "one billion, three hundred seventy-three million, fifty-six thousand".