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12557020 = 2257257349
BaseRepresentation
bin101111111001…
…101011011100
3212121221222211
4233321223130
511203311040
61125050204
7211506250
oct57715334
925557884
1012557020
1170a7303
124256964
1327a86b8
14194c260
1511808ea
hexbf9adc

12557020 has 48 divisors (see below), whose sum is σ = 30340800. Its totient is φ = 4276224.

The previous prime is 12556997. The next prime is 12557021. The reversal of 12557020 is 2075521.

It is a junction number, because it is equal to n+sod(n) for n = 12556982 and 12557000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12557021) 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, 35806 + ... + 36154.

It is an arithmetic number, because the mean of its divisors is an integer number (632100).

Almost surely, 212557020 is an apocalyptic number.

12557020 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 12557020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170400).

12557020 is an abundant number, since it is smaller than the sum of its proper divisors (17783780).

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

12557020 is a wasteful number, since it uses less digits than its factorization.

12557020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 12557020 is about 3543.5885765704. The cubic root of 12557020 is about 232.4317909907.

The spelling of 12557020 in words is "twelve million, five hundred fifty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 349 514 698 1028 1285 1396 1745 1799 2443 2570 3490 3598 4886 5140 6980 7196 8995 9772 12215 17990 24430 35980 48860 89693 179386 358772 448465 627851 896930 1255702 1793860 2511404 3139255 6278510 12557020