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9010000980 = 2234537191787
BaseRepresentation
bin10000110010000100…
…11011010001010100
3212020220220110210000
420121002123101110
5121423030012410
64050015331300
7436163513301
oct103102332124
925226813700
109010000980
113903a02102
1218b5520b30
13b07872436
1461689a0a8
1537b004dc0
hex21909b454

9010000980 has 240 divisors, whose sum is σ = 29217678336. Its totient is φ = 2322535680.

The previous prime is 9010000973. The next prime is 9010001027. The reversal of 9010000980 is 890000109.

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

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 79 ways as a sum of consecutive naturals, for example, 11448147 + ... + 11448933.

Almost surely, 29010000980 is an apocalyptic number.

9010000980 is a gapful number since it is divisible by the number (90) 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 9010000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608839168).

9010000980 is an abundant number, since it is smaller than the sum of its proper divisors (20207677356).

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

9010000980 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9010000979) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1025).

9010000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 9010000980 is about 94921.0249628606. The cubic root of 9010000980 is about 2080.8540147535.

The spelling of 9010000980 in words is "nine billion, ten million, nine hundred eighty", and thus it is an aban number.