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12574540 = 2251161937
BaseRepresentation
bin101111111101…
…111101001100
3212122212000201
4233331331030
511204341130
61125303244
7211611316
oct57757514
925585021
1012574540
117109490
124264b24
1327b3674
1419547b6
151185bca
hexbfdf4c

12574540 has 48 divisors (see below), whose sum is σ = 29310624. Its totient is φ = 4492800.

The previous prime is 12574531. The next prime is 12574547. The reversal of 12574540 is 4547521.

It is a junction number, because it is equal to n+sod(n) for n = 12574499 and 12574508.

It is not an unprimeable number, because it can be changed into a prime (12574547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12952 + ... + 13888.

It is an arithmetic number, because the mean of its divisors is an integer number (610638).

Almost surely, 212574540 is an apocalyptic number.

12574540 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 12574540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655312).

12574540 is an abundant number, since it is smaller than the sum of its proper divisors (16736084).

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

12574540 is a wasteful number, since it uses less digits than its factorization.

12574540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 12574540 is about 3546.0597851700. The cubic root of 12574540 is about 232.5398397833.

The spelling of 12574540 in words is "twelve million, five hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 937 1220 1342 1874 2684 3355 3748 4685 6710 9370 10307 13420 18740 20614 41228 51535 57157 103070 114314 206140 228628 285785 571570 628727 1143140 1257454 2514908 3143635 6287270 12574540