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2003534540 = 225724394657
BaseRepresentation
bin111011101101011…
…1000001011001100
312011122000002200222
41313122320023030
513100401101130
6530450410512
7100435522400
oct16732701314
95148002628
102003534540
11938a41177
1247ab90a38
1325c1140c7
14150139100
15bad5ece5
hex776b82cc

2003534540 has 72 divisors (see below), whose sum is σ = 4906550880. Its totient is φ = 685214208.

The previous prime is 2003534539. The next prime is 2003534543. The reversal of 2003534540 is 454353002.

It is not an unprimeable number, because it can be changed into a prime (2003534543) 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 23 ways as a sum of consecutive naturals, for example, 427892 + ... + 432548.

It is an arithmetic number, because the mean of its divisors is an integer number (68146540).

Almost surely, 22003534540 is an apocalyptic number.

2003534540 is a gapful number since it is divisible by the number (20) 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 2003534540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453275440).

2003534540 is an abundant number, since it is smaller than the sum of its proper divisors (2903016340).

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

2003534540 is a wasteful number, since it uses less digits than its factorization.

2003534540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 2003534540 is about 44760.8594644920. The cubic root of 2003534540 is about 1260.6628199883.

Adding to 2003534540 its reverse (454353002), we get a palindrome (2457887542).

The spelling of 2003534540 in words is "two billion, three million, five hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 439 490 878 980 1756 2195 3073 4390 4657 6146 8780 9314 12292 15365 18628 21511 23285 30730 32599 43022 46570 61460 65198 86044 93140 107555 130396 162995 215110 228193 325990 430220 456386 651980 912772 1140965 2044423 2281930 4088846 4563860 8177692 10222115 14310961 20444230 28621922 40888460 57243844 71554805 100176727 143109610 200353454 286219220 400706908 500883635 1001767270 2003534540