Search a number
-
+
1396830240 = 2532513293183
BaseRepresentation
bin101001101000001…
…1111000000100000
310121100101022212100
41103100133000200
510330042031430
6350334530400
746420601241
oct12320370040
93540338770
101396830240
11657524263
1232b966a00
1319350ba90
14d3728cc8
158296a960
hex5341f020

1396830240 has 576 divisors, whose sum is σ = 5547709440. Its totient is φ = 317399040.

The previous prime is 1396830229. The next prime is 1396830247. The reversal of 1396830240 is 420386931.

It is a super-2 number, since 2×13968302402 = 3902269438756915200, which contains 22 as substring.

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 = 1396830195 and 1396830204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396830247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16829239 + ... + 16829321.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 21396830240 is an apocalyptic number.

1396830240 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 1396830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

1396830240 is an abundant number, since it is smaller than the sum of its proper divisors (4150879200).

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

1396830240 is a wasteful number, since it uses less digits than its factorization.

1396830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1396830240 is about 37374.1921651826. The cubic root of 1396830240 is about 1117.8440242250.

The spelling of 1396830240 in words is "one billion, three hundred ninety-six million, eight hundred thirty thousand, two hundred forty".