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1282003220 = 225531209437
BaseRepresentation
bin100110001101001…
…1101000100010100
310022100022111210202
41030122131010110
510111143100340
6331113440032
743524563501
oct11432350424
93270274722
101282003220
115a8725aa3
122b9410018
131757a65b4
14c23984a8
1577837c15
hex4c69d114

1282003220 has 24 divisors (see below), whose sum is σ = 2743005384. Its totient is φ = 503125376.

The previous prime is 1282003181. The next prime is 1282003243. The reversal of 1282003220 is 223002821.

It can be written as a sum of positive squares in 4 ways, for example, as 36336784 + 1245666436 = 6028^2 + 35294^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1282003192 and 1282003201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603659 + ... + 605778.

It is an arithmetic number, because the mean of its divisors is an integer number (114291891).

Almost surely, 21282003220 is an apocalyptic number.

1282003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282003220 is an abundant number, since it is smaller than the sum of its proper divisors (1461002164).

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

1282003220 is a wasteful number, since it uses less digits than its factorization.

1282003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209499 (or 1209497 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1282003220 is about 35805.0725456603. The cubic root of 1282003220 is about 1086.3331655433. Note that the first 3 decimals are identical.

The spelling of 1282003220 in words is "one billion, two hundred eighty-two million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1209437 2418874 4837748 6047185 12094370 24188740 64100161 128200322 256400644 320500805 641001610 1282003220