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1981044000 = 253353131783
BaseRepresentation
bin111011000010100…
…0101010100100000
312010001200110111000
41312011011110200
513024121402000
6524324352000
7100043411325
oct16605052440
95101613430
101981044000
1192727a751
12473545600
1325756b1b0
1414b162b4c
15b8dbb000
hex76145520

1981044000 has 768 divisors, whose sum is σ = 8321564160. Its totient is φ = 453427200.

The previous prime is 1981043989. The next prime is 1981044029. The reversal of 1981044000 is 4401891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23867959 + ... + 23868041.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 21981044000 is an apocalyptic number.

1981044000 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 1981044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

1981044000 is an abundant number, since it is smaller than the sum of its proper divisors (6340520160).

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

1981044000 is a wasteful number, since it uses less digits than its factorization.

1981044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1981044000 is about 44508.9204542191. The cubic root of 1981044000 is about 1255.9278969251.

Adding to 1981044000 its reverse (4401891), we get a palindrome (1985445891).

The spelling of 1981044000 in words is "one billion, nine hundred eighty-one million, forty-four thousand".