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12803500 = 225329883
BaseRepresentation
bin110000110101…
…110110101100
3220002111002201
4300311312230
511234203000
61134231244
7213553663
oct60656654
926074081
1012803500
117255506
124355524
132863948
1419b3dda
1511cd96a
hexc35dac

12803500 has 48 divisors (see below), whose sum is σ = 28959840. Its totient is φ = 4939200.

The previous prime is 12803491. The next prime is 12803503. The reversal of 12803500 is 530821.

It is a happy number.

It is a super-2 number, since 2×128035002 = 327859224500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12803503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14059 + ... + 14941.

It is an arithmetic number, because the mean of its divisors is an integer number (603330).

Almost surely, 212803500 is an apocalyptic number.

12803500 is a gapful number since it is divisible by the number (10) 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 12803500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479920).

12803500 is an abundant number, since it is smaller than the sum of its proper divisors (16156340).

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

12803500 is a wasteful number, since it uses less digits than its factorization.

12803500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 12803500 is about 3578.1978704370. The cubic root of 12803500 is about 233.9427380767.

The spelling of 12803500 in words is "twelve million, eight hundred three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 883 1450 1766 2900 3532 3625 4415 7250 8830 14500 17660 22075 25607 44150 51214 88300 102428 110375 128035 220750 256070 441500 512140 640175 1280350 2560700 3200875 6401750 12803500