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1597240040 = 235114398269
BaseRepresentation
bin101111100110011…
…1111001011101000
311010022111012102112
41133030333023220
511232343140130
6422254221452
754403213334
oct13714771350
94108435375
101597240040
1174a6670a0
12386ab4888
131c5baa766
141121b67c4
1595356495
hex5f33f2e8

1597240040 has 64 divisors (see below), whose sum is σ = 3929904000. Its totient is φ = 579421440.

The previous prime is 1597240027. The next prime is 1597240079. The reversal of 1597240040 is 400427951.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1597239979 and 1597240006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189026 + ... + 197294.

It is an arithmetic number, because the mean of its divisors is an integer number (61404750).

Almost surely, 21597240040 is an apocalyptic number.

1597240040 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 1597240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964952000).

1597240040 is an abundant number, since it is smaller than the sum of its proper divisors (2332663960).

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

1597240040 is a wasteful number, since it uses less digits than its factorization.

1597240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1597240040 is about 39965.4856094606. The cubic root of 1597240040 is about 1168.9341938909.

Adding to 1597240040 its reverse (400427951), we get a palindrome (1997667991).

The spelling of 1597240040 in words is "one billion, five hundred ninety-seven million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 439 440 878 1756 2195 3512 4390 4829 8269 8780 9658 16538 17560 19316 24145 33076 38632 41345 48290 66152 82690 90959 96580 165380 181918 193160 330760 363836 454795 727672 909590 1819180 3630091 3638360 7260182 14520364 18150455 29040728 36300910 39931001 72601820 79862002 145203640 159724004 199655005 319448008 399310010 798620020 1597240040