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1397096064 = 273271313327
BaseRepresentation
bin101001101000101…
…1111111010000000
310121100212211111200
41103101133322000
510330124033224
6350344341200
746423056240
oct12321377200
93540784450
101397096064
11657695a51
1232ba74800
131935a2a80
14d3797b20
15829be5c9
hex5345fe80

1397096064 has 192 divisors, whose sum is σ = 4948419840. Its totient is φ = 368437248.

The previous prime is 1397096021. The next prime is 1397096069. The reversal of 1397096064 is 4606907931.

1397096064 is a `hidden beast` number, since 1 + 39 + 7 + 0 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1397096069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98169 + ... + 111495.

It is an arithmetic number, because the mean of its divisors is an integer number (25773020).

Almost surely, 21397096064 is an apocalyptic number.

1397096064 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 1397096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474209920).

1397096064 is an abundant number, since it is smaller than the sum of its proper divisors (3551323776).

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

1397096064 is a wasteful number, since it uses less digits than its factorization.

1397096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1397096064 is about 37377.7482467845. The cubic root of 1397096064 is about 1117.9149302219.

The spelling of 1397096064 in words is "one billion, three hundred ninety-seven million, ninety-six thousand, sixty-four".