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1999404000 = 25355311217
BaseRepresentation
bin111011100101100…
…0111101111100000
312011100020020200000
41313023013233200
513043321412000
6530222100000
7100355440116
oct16713075740
95140206600
101999404000
1193667a900
1247971a600
1325b2c8cb9
1414d781ab6
15ba7e6000
hex772c7be0

1999404000 has 864 divisors, whose sum is σ = 8564276448. Its totient is φ = 456192000.

The previous prime is 1999403963. The next prime is 1999404041. The reversal of 1999404000 is 4049991.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117611992 + ... + 117612008.

It is an arithmetic number, because the mean of its divisors is an integer number (9912357).

Almost surely, 21999404000 is an apocalyptic number.

1999404000 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 1999404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282138224).

1999404000 is an abundant number, since it is smaller than the sum of its proper divisors (6564872448).

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

1999404000 is a wasteful number, since it uses less digits than its factorization.

1999404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1999404000 is about 44714.6955709194. The cubic root of 1999404000 is about 1259.7958853034.

The spelling of 1999404000 in words is "one billion, nine hundred ninety-nine million, four hundred four thousand".