Search a number
-
+
1396118880 = 25325131741107
BaseRepresentation
bin101001100110111…
…0001010101100000
310121022001012001200
41103031301111200
510324401301010
6350311401200
746411546302
oct12315612540
93538035050
101396118880
11657088862
1232b683200
13193320060
14d35c1972
1582879cc0
hex53371560

1396118880 has 576 divisors, whose sum is σ = 5617055808. Its totient is φ = 312606720.

The previous prime is 1396118873. The next prime is 1396118887. The reversal of 1396118880 is 888116931.

1396118880 is a `hidden beast` number, since 1 + 396 + 1 + 188 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1396118873) and next prime (1396118887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396118887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13047787 + ... + 13047893.

It is an arithmetic number, because the mean of its divisors is an integer number (9751833).

Almost surely, 21396118880 is an apocalyptic number.

1396118880 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 1396118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808527904).

1396118880 is an abundant number, since it is smaller than the sum of its proper divisors (4220936928).

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

1396118880 is a wasteful number, since it uses less digits than its factorization.

1396118880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1396118880 is about 37364.6742257978. The cubic root of 1396118880 is about 1117.6542315242.

The spelling of 1396118880 in words is "one billion, three hundred ninety-six million, one hundred eighteen thousand, eight hundred eighty".