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1461354036 = 22323310009
BaseRepresentation
bin101011100011010…
…0111111000110100
310202211210110212120
41113012213320310
510443101312121
6401001515540
751133206252
oct12706477064
93684713776
101461354036
1168a994a0a
123494a2bb0
131a39b0b3c
14dc1235d2
1588463bc6
hex571a7e34

1461354036 has 48 divisors (see below), whose sum is σ = 3565161600. Its totient is φ = 465892416.

The previous prime is 1461354007. The next prime is 1461354071. The reversal of 1461354036 is 6304531641.

It is a junction number, because it is equal to n+sod(n) for n = 1461353988 and 1461354006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141000 + ... + 151008.

It is an arithmetic number, because the mean of its divisors is an integer number (74274200).

Almost surely, 21461354036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461354036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782580800).

1461354036 is an abundant number, since it is smaller than the sum of its proper divisors (2103807564).

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

1461354036 is a wasteful number, since it uses less digits than its factorization.

1461354036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1461354036 is about 38227.6606137493. The cubic root of 1461354036 is about 1134.7977894081.

Adding to 1461354036 its reverse (6304531641), we get a palindrome (7765885677).

The spelling of 1461354036 in words is "one billion, four hundred sixty-one million, three hundred fifty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 3174 6348 10009 12167 20018 24334 30027 36501 40036 48668 60054 73002 120108 146004 230207 460414 690621 920828 1381242 2762484 5294761 10589522 15884283 21179044 31768566 63537132 121779503 243559006 365338509 487118012 730677018 1461354036