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12487780 = 2254197157
BaseRepresentation
bin101111101000…
…110001100100
3212111110000101
4233220301210
511144102110
61123353444
7211100344
oct57506144
925443011
1012487780
11705a288
124222884
132783026
141930d24
15116a13a
hexbe8c64

12487780 has 48 divisors (see below), whose sum is σ = 27313776. Its totient is φ = 4792320.

The previous prime is 12487757. The next prime is 12487789. The reversal of 12487780 is 8778421.

12487780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2715904 + 9771876 = 1648^2 + 3126^2 .

It is not an unprimeable number, because it can be changed into a prime (12487789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79462 + ... + 79618.

It is an arithmetic number, because the mean of its divisors is an integer number (569037).

Almost surely, 212487780 is an apocalyptic number.

12487780 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 12487780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656888).

12487780 is an abundant number, since it is smaller than the sum of its proper divisors (14825996).

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

12487780 is a wasteful number, since it uses less digits than its factorization.

12487780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 12487780 is about 3533.8053143884. The cubic root of 12487780 is about 232.0037900689.

The spelling of 12487780 in words is "twelve million, four hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 97 157 164 194 205 314 388 410 485 628 785 820 970 1570 1940 3140 3977 6437 7954 12874 15229 15908 19885 25748 30458 32185 39770 60916 64370 76145 79540 128740 152290 304580 624389 1248778 2497556 3121945 6243890 12487780