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1399076640 = 253251325749
BaseRepresentation
bin101001101100100…
…0011011100100000
310121111121110100100
41103121003130200
510331130423030
6350455022400
746445645433
oct12331033440
93544543310
101399076640
11658818a95
1233066aa00
13193b17400
14d3b5181a
1582c61360
hex53643720

1399076640 has 216 divisors, whose sum is σ = 5170756500. Its totient is φ = 344328192.

The previous prime is 1399076639. The next prime is 1399076741. The reversal of 1399076640 is 466709931.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 1399059216 = 132^2 + 37404^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240486 + ... + 246234.

Almost surely, 21399076640 is an apocalyptic number.

1399076640 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 1399076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585378250).

1399076640 is an abundant number, since it is smaller than the sum of its proper divisors (3771679860).

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

1399076640 is a wasteful number, since it uses less digits than its factorization.

1399076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1399076640 is about 37404.2329155405. The cubic root of 1399076640 is about 1118.4429468916.

The spelling of 1399076640 in words is "one billion, three hundred ninety-nine million, seventy-six thousand, six hundred forty".