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1390658016 = 2531123311847
BaseRepresentation
bin101001011100011…
…1100000111100000
310120220202202011110
41102320330013200
510322002024031
6345554343320
746314253356
oct12270740740
93526682143
101390658016
11653a98a50
1232988ab40
1319215a587
14d299d7d6
158214bc46
hex52e3c1e0

1390658016 has 192 divisors, whose sum is σ = 4291854336. Its totient is φ = 389875200.

The previous prime is 1390658011. The next prime is 1390658029. The reversal of 1390658016 is 6108560931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390658011) 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, 752005 + ... + 753851.

It is an arithmetic number, because the mean of its divisors is an integer number (22353408).

Almost surely, 21390658016 is an apocalyptic number.

1390658016 is a gapful number since it is divisible by the number (16) 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 1390658016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145927168).

1390658016 is an abundant number, since it is smaller than the sum of its proper divisors (2901196320).

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

1390658016 is a wasteful number, since it uses less digits than its factorization.

1390658016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1390658016 is about 37291.5274023470. The cubic root of 1390658016 is about 1116.1951072659.

The spelling of 1390658016 in words is "one billion, three hundred ninety million, six hundred fifty-eight thousand, sixteen".