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1287004992 = 263721317619
BaseRepresentation
bin100110010110110…
…0010001101000000
310022200201121221120
41030231202031000
510113433124432
6331412552240
743615235100
oct11455421500
93280647846
101287004992
11600531999
122bb022680
13176838120
14c2cdb200
1577ec4c2c
hex4cb62340

1287004992 has 336 divisors, whose sum is σ = 4524085440. Its totient is φ = 318947328.

The previous prime is 1287004969. The next prime is 1287005011. The reversal of 1287004992 is 2994007821.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078859 + ... + 2079477.

It is an arithmetic number, because the mean of its divisors is an integer number (13464540).

Almost surely, 21287004992 is an apocalyptic number.

1287004992 is a gapful number since it is divisible by the number (12) 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 1287004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262042720).

1287004992 is an abundant number, since it is smaller than the sum of its proper divisors (3237080448).

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

1287004992 is a wasteful number, since it uses less digits than its factorization.

1287004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1287004992 is about 35874.8518045720. The cubic root of 1287004992 is about 1087.7441187469.

The spelling of 1287004992 in words is "one billion, two hundred eighty-seven million, four thousand, nine hundred ninety-two".