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1397934720 = 273357213127
BaseRepresentation
bin101001101010010…
…1100101010000000
310121102110102221000
41103110230222000
510330332402340
6350414332000
746433151300
oct12324545200
93542412830
101397934720
11658109056
123301ba000
13193807710
14d3935600
1582ad7d30
hex5352ca80

1397934720 has 768 divisors, whose sum is σ = 6251212800. Its totient is φ = 292626432.

The previous prime is 1397934673. The next prime is 1397934749. The reversal of 1397934720 is 274397931.

1397934720 is a `hidden beast` number, since 1 + 3 + 97 + 93 + 472 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007297 + ... + 11007423.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 21397934720 is an apocalyptic number.

1397934720 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 1397934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

1397934720 is an abundant number, since it is smaller than the sum of its proper divisors (4853278080).

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

1397934720 is a wasteful number, since it uses less digits than its factorization.

1397934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1397934720 is about 37388.9652170263. The cubic root of 1397934720 is about 1118.1385747162.

The spelling of 1397934720 in words is "one billion, three hundred ninety-seven million, nine hundred thirty-four thousand, seven hundred twenty".