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999643680 = 2535573673
BaseRepresentation
bin111011100101010…
…101101000100000
32120200000011100000
4323211111220200
54021402044210
6243105500000
733525555030
oct7345255040
92520004300
10999643680
11473300102
1223a941600
1312c143c49
1496a978c0
155cb60ac0
hex3b955a20

999643680 has 288 divisors, whose sum is σ = 4044104064. Its totient is φ = 228427776.

The previous prime is 999643669. The next prime is 999643681. The reversal of 999643680 is 86346999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (999643681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270324 + ... + 273996.

It is an arithmetic number, because the mean of its divisors is an integer number (14042028).

Almost surely, 2999643680 is an apocalyptic number.

999643680 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 999643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022052032).

999643680 is an abundant number, since it is smaller than the sum of its proper divisors (3044460384).

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

999643680 is a wasteful number, since it uses less digits than its factorization.

999643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 999643680 is about 31617.1421858460. The cubic root of 999643680 is about 999.8812125568.

The spelling of 999643680 in words is "nine hundred ninety-nine million, six hundred forty-three thousand, six hundred eighty".