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12526220 = 2257131683
BaseRepresentation
bin101111110010…
…001010001100
3212120101202002
4233302022030
511201314340
61124251432
7211320410
oct57621214
925511662
1012526220
117086153
124240b78
132797685
141940d40
151176715
hexbf228c

12526220 has 48 divisors (see below), whose sum is σ = 30336768. Its totient is φ = 4255680.

The previous prime is 12526219. The next prime is 12526243. The reversal of 12526220 is 2262521.

12526220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12526192 and 12526201.

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, 17999 + ... + 18681.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 212526220 is an apocalyptic number.

12526220 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 12526220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

12526220 is an abundant number, since it is smaller than the sum of its proper divisors (17810548).

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

12526220 is a wasteful number, since it uses less digits than its factorization.

12526220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12526220 is about 3539.2400314192. The cubic root of 12526220 is about 232.2415982991.

Adding to 12526220 its reverse (2262521), we get a palindrome (14788741).

The spelling of 12526220 in words is "twelve million, five hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 683 917 1310 1366 1834 2620 2732 3415 3668 4585 4781 6830 9170 9562 13660 18340 19124 23905 47810 89473 95620 178946 357892 447365 626311 894730 1252622 1789460 2505244 3131555 6263110 12526220