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2010041504 = 25298924337
BaseRepresentation
bin111011111001110…
…1100110010100000
312012002020200120122
41313303230302200
513104032312004
6531242055412
7100545033212
oct16763546240
95162220518
102010041504
11941685a29
124811aa568
13260581a93
14150d505b2
15bb6e7cbe
hex77cecca0

2010041504 has 48 divisors (see below), whose sum is σ = 4139893800. Its totient is φ = 959422464.

The previous prime is 2010041503. The next prime is 2010041513. The reversal of 2010041504 is 4051400102.

It can be written as a sum of positive squares in 4 ways, for example, as 1958947600 + 51093904 = 44260^2 + 7148^2 .

It is not an unprimeable number, because it can be changed into a prime (2010041503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70424 + ... + 94760.

Almost surely, 22010041504 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 2010041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069946900).

2010041504 is an abundant number, since it is smaller than the sum of its proper divisors (2129852296).

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

2010041504 is a wasteful number, since it uses less digits than its factorization.

2010041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24465 (or 24457 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2010041504 is about 44833.4864136172. The cubic root of 2010041504 is about 1262.0261145236.

Adding to 2010041504 its reverse (4051400102), we get a palindrome (6061441606).

The spelling of 2010041504 in words is "two billion, ten million, forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 89 116 178 232 356 464 712 928 1424 2581 2848 5162 10324 20648 24337 41296 48674 82592 97348 194696 389392 705773 778784 1411546 2165993 2823092 4331986 5646184 8663972 11292368 17327944 22584736 34655888 62813797 69311776 125627594 251255188 502510376 1005020752 2010041504