Search a number
-
+
1396602000 = 24345337233
BaseRepresentation
bin101001100111110…
…0111010010010000
310121022221201210000
41103033213102100
510330012231000
6350330010000
746415630643
oct12317472220
93538851700
101396602000
11657388832
1232b876900
1319345bc21
14d36a9a5a
1582923000
hex533e7490

1396602000 has 400 divisors, whose sum is σ = 5203207152. Its totient is φ = 360806400.

The previous prime is 1396601977. The next prime is 1396602007. The reversal of 1396602000 is 2066931.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 365421456 + 1031180544 = 19116^2 + 32112^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1396602007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5993884 + ... + 5994116.

Almost surely, 21396602000 is an apocalyptic number.

1396602000 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 1396602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601603576).

1396602000 is an abundant number, since it is smaller than the sum of its proper divisors (3806605152).

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

1396602000 is a wasteful number, since it uses less digits than its factorization.

1396602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1396602000 is about 37371.1385965159. The cubic root of 1396602000 is about 1117.7831362205.

Adding to 1396602000 its reverse (2066931), we get a palindrome (1398668931).

The spelling of 1396602000 in words is "one billion, three hundred ninety-six million, six hundred two thousand".