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12520872 = 233373132
BaseRepresentation
bin101111110000…
…110110101000
3212120010102000
4233300312220
511201131442
61124211000
7211266000
oct57606650
925503360
1012520872
117082131
124239a60
132795100
14193d000
151174d4c
hexbf0da8

12520872 has 192 divisors, whose sum is σ = 43920000. Its totient is φ = 3302208.

The previous prime is 12520853. The next prime is 12520873. The reversal of 12520872 is 27802521.

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 is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12520873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963138 + ... + 963150.

It is an arithmetic number, because the mean of its divisors is an integer number (228750).

Almost surely, 212520872 is an apocalyptic number.

12520872 is a gapful number since it is divisible by the number (12) 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 12520872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960000).

12520872 is an abundant number, since it is smaller than the sum of its proper divisors (31399128).

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

12520872 is a wasteful number, since it uses less digits than its factorization.

12520872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12520872 is about 3538.4844213307. The cubic root of 12520872 is about 232.2085421745.

The spelling of 12520872 in words is "twelve million, five hundred twenty thousand, eight hundred seventy-two".