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1597194240 = 214356797
BaseRepresentation
bin101111100110011…
…0100000000000000
311010022101212121020
41133030310000000
511232340203430
6422253225440
754402632655
oct13714640000
94108355536
101597194240
1174a635744
12386a92280
131c5b92965
141121a3c2c
1595347b10
hex5f334000

1597194240 has 240 divisors, whose sum is σ = 5240622912. Its totient is φ = 415236096.

The previous prime is 1597194239. The next prime is 1597194253. The reversal of 1597194240 is 424917951.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1597194192 and 1597194201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16465872 + ... + 16465968.

Almost surely, 21597194240 is an apocalyptic number.

1597194240 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 1597194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620311456).

1597194240 is an abundant number, since it is smaller than the sum of its proper divisors (3643428672).

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

1597194240 is an frugal number, since it uses more digits than its factorization.

1597194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1597194240 is about 39964.9126109391. The cubic root of 1597194240 is about 1168.9230209308.

The spelling of 1597194240 in words is "one billion, five hundred ninety-seven million, one hundred ninety-four thousand, two hundred forty".