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12528460 = 2257109821
BaseRepresentation
bin101111110010…
…101101001100
3212120111211001
4233302231030
511201402320
61124310044
7211330060
oct57625514
925514731
1012528460
1170878aa
124242324
1327986b9
141941aa0
15117720a
hexbf2b4c

12528460 has 48 divisors (see below), whose sum is σ = 30381120. Its totient is φ = 4250880.

The previous prime is 12528457. The next prime is 12528463. The reversal of 12528460 is 6482521.

It is an interprime number because it is at equal distance from previous prime (12528457) and next prime (12528463).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12528463) 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, 14850 + ... + 15670.

It is an arithmetic number, because the mean of its divisors is an integer number (632940).

Almost surely, 212528460 is an apocalyptic number.

12528460 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 12528460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190560).

12528460 is an abundant number, since it is smaller than the sum of its proper divisors (17852660).

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

12528460 is a wasteful number, since it uses less digits than its factorization.

12528460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 12528460 is about 3539.5564693899. The cubic root of 12528460 is about 232.2554410007.

The spelling of 12528460 in words is "twelve million, five hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 821 1090 1526 1642 2180 3052 3284 3815 4105 5747 7630 8210 11494 15260 16420 22988 28735 57470 89489 114940 178978 357956 447445 626423 894890 1252846 1789780 2505692 3132115 6264230 12528460