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1001980000 = 2554717421
BaseRepresentation
bin111011101110010…
…000000001100000
32120211101212011101
4323232100001200
54023001330000
6243231524144
733554455330
oct7356200140
92524355141
101001980000
1147465644a
1223b689654
1312c781498
14971050c0
155ce72e6a
hex3bb90060

1001980000 has 240 divisors, whose sum is σ = 2989967904. Its totient is φ = 322560000.

The previous prime is 1001979977. The next prime is 1001980003. The reversal of 1001980000 is 891001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001980000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001980003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2379790 + ... + 2380210.

Almost surely, 21001980000 is an apocalyptic number.

1001980000 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 1001980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494983952).

1001980000 is an abundant number, since it is smaller than the sum of its proper divisors (1987987904).

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

1001980000 is an equidigital number, since it uses as much as digits as its factorization.

1001980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1001980000 is about 31654.0676691006. The cubic root of 1001980000 is about 1000.6595648785.

The spelling of 1001980000 in words is "one billion, one million, nine hundred eighty thousand".