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12980500 = 2253131997
BaseRepresentation
bin110001100001…
…000100010100
3220102110220021
4301201010110
511310334000
61142114524
7215222011
oct61410424
926373807
1012980500
117366495
12441ba44
1328c6390
141a1c708
15121611a
hexc61114

12980500 has 48 divisors (see below), whose sum is σ = 30545424. Its totient is φ = 4790400.

The previous prime is 12980489. The next prime is 12980519. The reversal of 12980500 is 508921.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 2521744 = 3234^2 + 1588^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502 + ... + 7498.

It is an arithmetic number, because the mean of its divisors is an integer number (636363).

Almost surely, 212980500 is an apocalyptic number.

12980500 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 12980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272712).

12980500 is an abundant number, since it is smaller than the sum of its proper divisors (17564924).

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

12980500 is a wasteful number, since it uses less digits than its factorization.

12980500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 12980500 is about 3602.8460971848. The cubic root of 12980500 is about 235.0158432053.

The spelling of 12980500 in words is "twelve million, nine hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 1997 3250 3994 6500 7988 9985 19970 25961 39940 49925 51922 99850 103844 129805 199700 249625 259610 499250 519220 649025 998500 1298050 2596100 3245125 6490250 12980500