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1397387264 = 21271323163
BaseRepresentation
bin101001101001010…
…0111000000000000
310121101102121221212
41103102213000000
510330212343024
6350354505252
746425411230
oct12322470000
93541377855
101397387264
11657874809
1232bb95228
13193675490
14d3831cc0
1582a2aa0e
hex534a7000

1397387264 has 208 divisors, whose sum is σ = 3610854912. Its totient is φ = 525533184.

The previous prime is 1397387263. The next prime is 1397387269. The reversal of 1397387264 is 4627837931.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397387261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8572847 + ... + 8573009.

Almost surely, 21397387264 is an apocalyptic number.

1397387264 is a gapful number since it is divisible by the number (14) 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 1397387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805427456).

1397387264 is an abundant number, since it is smaller than the sum of its proper divisors (2213467648).

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

1397387264 is a wasteful number, since it uses less digits than its factorization.

1397387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 1397387264 is about 37381.6434095667. The cubic root of 1397387264 is about 1117.9925947007.

The spelling of 1397387264 in words is "one billion, three hundred ninety-seven million, three hundred eighty-seven thousand, two hundred sixty-four".