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1244890080 = 25335725881
BaseRepresentation
bin100101000110011…
…1000001111100000
310012202110222011000
41022030320033200
510022142440310
6323310152000
742564251100
oct11214701740
93182428130
101244890080
11589787385
122a8ab2600
1316abb0a65
14bb497200
15744564c0
hex4a3383e0

1244890080 has 288 divisors, whose sum is σ = 5069342880. Its totient is φ = 284497920.

The previous prime is 1244890063. The next prime is 1244890103. The reversal of 1244890080 is 800984421.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12448900802 = 3099502622564812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 208740 + ... + 214620.

It is an arithmetic number, because the mean of its divisors is an integer number (17601885).

Almost surely, 21244890080 is an apocalyptic number.

1244890080 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 1244890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534671440).

1244890080 is an abundant number, since it is smaller than the sum of its proper divisors (3824452800).

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

1244890080 is a wasteful number, since it uses less digits than its factorization.

1244890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1244890080 is about 35282.9998724598. Note that the first 3 decimals coincide. The cubic root of 1244890080 is about 1075.7474750931.

The spelling of 1244890080 in words is "one billion, two hundred forty-four million, eight hundred ninety thousand, eighty".