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12520008 = 23341392
BaseRepresentation
bin101111110000…
…101001001000
3212120002020000
4233300221020
511201120013
61124203000
7211263324
oct57605110
925502200
1012520008
117081516
124239460
1327948b7
14193c984
151174973
hexbf0a48

12520008 has 60 divisors (see below), whose sum is σ = 35321715. Its totient is φ = 4143312.

The previous prime is 12520003. The next prime is 12520021. The reversal of 12520008 is 80002521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 6260004 = 2502^2 + 2502^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2502.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12520003) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 90003 + ... + 90141.

Almost surely, 212520008 is an apocalyptic number.

12520008 is a gapful number since it is divisible by the number (18) 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 12520008

12520008 is an abundant number, since it is smaller than the sum of its proper divisors (22801707).

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

12520008 is an equidigital number, since it uses as much as digits as its factorization.

12520008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12520008 is about 3538.3623330575. The cubic root of 12520008 is about 232.2032008853.

Multiplying 12520008 by its sum of digits (18), we get a square (225360144 = 150122).

12520008 divided by its sum of digits (18) gives a square (695556 = 8342).

Adding to 12520008 its reverse (80002521), we get a palindrome (92522529).

The spelling of 12520008 in words is "twelve million, five hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 556 648 834 1112 1251 1668 2502 3336 3753 5004 7506 10008 11259 15012 19321 22518 30024 38642 45036 57963 77284 90072 115926 154568 173889 231852 347778 463704 521667 695556 1043334 1391112 1565001 2086668 3130002 4173336 6260004 12520008