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1399580640 = 253351272551
BaseRepresentation
bin101001101101011…
…1110011111100000
310121112120001201000
41103122332133200
510331243040030
6350513512000
746453145013
oct12332763740
93545501630
101399580640
11659032717
12330872600
13193c62933
14d3c4337a
1582d10860
hex536be7e0

1399580640 has 192 divisors, whose sum is σ = 4939038720. Its totient is φ = 370137600.

The previous prime is 1399580639. The next prime is 1399580647. The reversal of 1399580640 is 460859931.

It is a happy number.

1399580640 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 580 + 64 + 0 = 666.

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 (1399580647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547365 + ... + 549915.

It is an arithmetic number, because the mean of its divisors is an integer number (25724160).

Almost surely, 21399580640 is an apocalyptic number.

1399580640 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 1399580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469519360).

1399580640 is an abundant number, since it is smaller than the sum of its proper divisors (3539458080).

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

1399580640 is a wasteful number, since it uses less digits than its factorization.

1399580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1399580640 is about 37410.9695143016. The cubic root of 1399580640 is about 1118.5772324994.

The spelling of 1399580640 in words is "one billion, three hundred ninety-nine million, five hundred eighty thousand, six hundred forty".