Search a number
-
+
1399125420 = 22335721121923
BaseRepresentation
bin101001101100100…
…1111010110101100
310121111200221021000
41103121033112230
510331134003140
6350500040300
746446240600
oct12331172654
93544627230
101399125420
11658851700
12330693090
13193b33684
14d3b65500
1582c70a30
hex5364f5ac

1399125420 has 864 divisors, whose sum is σ = 6113318400. Its totient is φ = 263450880.

The previous prime is 1399125383. The next prime is 1399125487. The reversal of 1399125420 is 245219931.

1399125420 is a `hidden beast` number, since 13 + 99 + 12 + 542 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60831529 + ... + 60831551.

It is an arithmetic number, because the mean of its divisors is an integer number (7075600).

Almost surely, 21399125420 is an apocalyptic number.

1399125420 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 1399125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056659200).

1399125420 is an abundant number, since it is smaller than the sum of its proper divisors (4714192980).

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

1399125420 is a wasteful number, since it uses less digits than its factorization.

1399125420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1399125420 is about 37404.8849750938. The cubic root of 1399125420 is about 1118.4559452296.

The spelling of 1399125420 in words is "one billion, three hundred ninety-nine million, one hundred twenty-five thousand, four hundred twenty".