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12523016 = 2311217761
BaseRepresentation
bin101111110001…
…011000001000
3212120020100102
4233301120020
511201214031
61124224532
7211305152
oct57613010
925506312
1012523016
117083800
12423b148
13279608c
14193dad2
1511757cb
hexbf1608

12523016 has 48 divisors (see below), whose sum is σ = 27363420. Its totient is φ = 5350400.

The previous prime is 12522973. The next prime is 12523073. The reversal of 12523016 is 61032521.

It can be written as a sum of positive squares in 2 ways, for example, as 11930116 + 592900 = 3454^2 + 770^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16076 + ... + 16836.

Almost surely, 212523016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12523016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681710).

12523016 is an abundant number, since it is smaller than the sum of its proper divisors (14840404).

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

12523016 is a wasteful number, since it uses less digits than its factorization.

12523016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 12523016 is about 3538.7873629253. The cubic root of 12523016 is about 232.2217954234.

Adding to 12523016 its reverse (61032521), we get a palindrome (73555537).

The spelling of 12523016 in words is "twelve million, five hundred twenty-three thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 761 968 1496 1522 2057 3044 4114 6088 8228 8371 12937 16456 16742 25874 33484 51748 66968 92081 103496 142307 184162 284614 368324 569228 736648 1138456 1565377 3130754 6261508 12523016