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1397596032 = 273573131
BaseRepresentation
bin101001101001101…
…1001111110000000
310121101211020100000
41103103121332000
510330241033112
6350403200000
746430241000
oct12323317600
93541736300
101397596032
116579a7648
12330076000
13193719501
14d3888000
1582a6c7dc
hex534d9f80

1397596032 has 384 divisors, whose sum is σ = 4900896000. Its totient is φ = 396264960.

The previous prime is 1397596003. The next prime is 1397596073. The reversal of 1397596032 is 2306957931.

1397596032 is a `hidden beast` number, since 1 + 39 + 7 + 5 + 9 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10668607 + ... + 10668737.

It is an arithmetic number, because the mean of its divisors is an integer number (12762750).

Almost surely, 21397596032 is an apocalyptic number.

1397596032 is a gapful number since it is divisible by the number (12) 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 1397596032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450448000).

1397596032 is an abundant number, since it is smaller than the sum of its proper divisors (3503299968).

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

1397596032 is an frugal number, since it uses more digits than its factorization.

1397596032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1397596032 is about 37384.4356918758. The cubic root of 1397596032 is about 1118.0482675176.

The spelling of 1397596032 in words is "one billion, three hundred ninety-seven million, five hundred ninety-six thousand, thirty-two".