Search a number
-
+
1399077120 = 28357233173
BaseRepresentation
bin101001101100100…
…0011100100000000
310121111121111000010
41103121003210000
510331130431440
6350455024520
746445650020
oct12331034400
93544544003
101399077120
11658819391
1233066b140
13193b176ac
14d3b51a80
1582c61580
hex53643900

1399077120 has 576 divisors, whose sum is σ = 5575901184. Its totient is φ = 291962880.

The previous prime is 1399077079. The next prime is 1399077137. The reversal of 1399077120 is 217709931.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19165404 + ... + 19165476.

It is an arithmetic number, because the mean of its divisors is an integer number (9680384).

Almost surely, 21399077120 is an apocalyptic number.

1399077120 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 1399077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787950592).

1399077120 is an abundant number, since it is smaller than the sum of its proper divisors (4176824064).

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

1399077120 is a wasteful number, since it uses less digits than its factorization.

1399077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 1399077120 is about 37404.2393319260. The cubic root of 1399077120 is about 1118.4430747980.

The spelling of 1399077120 in words is "one billion, three hundred ninety-nine million, seventy-seven thousand, one hundred twenty".