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12803220 = 2232571129
BaseRepresentation
bin110000110101…
…110010010100
3220002110201100
4300311302110
511234200340
61134230100
7213553113
oct60656224
926073640
1012803220
117255281
124355330
132863791
1419b3c7a
1511cd830
hexc35c94

12803220 has 36 divisors (see below), whose sum is σ = 38836980. Its totient is φ = 3414144.

The previous prime is 12803213. The next prime is 12803237. The reversal of 12803220 is 2230821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 9253764 = 1884^2 + 3042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12803193 and 12803202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35385 + ... + 35744.

It is an arithmetic number, because the mean of its divisors is an integer number (1078805).

Almost surely, 212803220 is an apocalyptic number.

12803220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12803220 is an abundant number, since it is smaller than the sum of its proper divisors (26033760).

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

12803220 is a wasteful number, since it uses less digits than its factorization.

12803220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71144 (or 71139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12803220 is about 3578.1587443824. The cubic root of 12803220 is about 233.9410326981.

It can be divided in two parts, 1 and 2803220, that added together give a cube (2803221 = 1413).

The spelling of 12803220 in words is "twelve million, eight hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 71129 142258 213387 284516 355645 426774 640161 711290 853548 1066935 1280322 1422580 2133870 2560644 3200805 4267740 6401610 12803220