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20072448 = 21134112
BaseRepresentation
bin100110010010…
…0100000000000
31101202210020000
41030210200000
520114304243
61554120000
7332420154
oct114444000
941683200
1020072448
111036a800
126880000
13420a3b6
142947064
151b675d3
hex1324800

20072448 has 180 divisors, whose sum is σ = 65900835. Its totient is φ = 6082560.

The previous prime is 20072447. The next prime is 20072467. The reversal of 20072448 is 84427002.

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., 10036224 + 10036224 = 3168^2 + 3168^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3168.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (20072447) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1824763 + ... + 1824773.

Almost surely, 220072448 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 20072448

20072448 is an abundant number, since it is smaller than the sum of its proper divisors (45828387).

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

20072448 is an equidigital number, since it uses as much as digits as its factorization.

20072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20072448 is about 4480.2285655980. The cubic root of 20072448 is about 271.7691235776.

The spelling of 20072448 in words is "twenty million, seventy-two thousand, four hundred forty-eight".