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1396021248 = 21132233789
BaseRepresentation
bin101001100110101…
…1001100000000000
310121021212020010200
41103031121200000
510324340134443
6350305325200
746410661536
oct12315314000
93537766120
101396021248
11657021476
1232b636800
131932b779b
14d3598156
158285add3
hex53359800

1396021248 has 288 divisors, whose sum is σ = 4369528800. Its totient is φ = 428212224.

The previous prime is 1396021247. The next prime is 1396021261. The reversal of 1396021248 is 8421206931.

1396021248 is a `hidden beast` number, since 1 + 3 + 9 + 602 + 1 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396021247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15685588 + ... + 15685676.

It is an arithmetic number, because the mean of its divisors is an integer number (15171975).

Almost surely, 21396021248 is an apocalyptic number.

1396021248 is a gapful number since it is divisible by the number (18) 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 1396021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184764400).

1396021248 is an abundant number, since it is smaller than the sum of its proper divisors (2973507552).

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

1396021248 is a wasteful number, since it uses less digits than its factorization.

1396021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1396021248 is about 37363.3677282977. The cubic root of 1396021248 is about 1117.6281780214.

The spelling of 1396021248 in words is "one billion, three hundred ninety-six million, twenty-one thousand, two hundred forty-eight".