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1693242000 = 243253194951
BaseRepresentation
bin110010011101100…
…1101001010010000
311101000010121100200
41210323031022100
511431432221000
6440004015200
756650214412
oct14473151220
94330117320
101693242000
1179987785a
123b3091500
1320ca51558
14120c469b2
159d9bb500
hex64ecd290

1693242000 has 240 divisors, whose sum is σ = 6226446720. Its totient is φ = 427680000.

The previous prime is 1693241971. The next prime is 1693242013. The reversal of 1693242000 is 2423961.

It is a tau number, because it is divible by the number of its divisors (240).

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, 339525 + ... + 344475.

It is an arithmetic number, because the mean of its divisors is an integer number (25943528).

Almost surely, 21693242000 is an apocalyptic number.

1693242000 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 1693242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113223360).

1693242000 is an abundant number, since it is smaller than the sum of its proper divisors (4533204720).

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

1693242000 is a wasteful number, since it uses less digits than its factorization.

1693242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1693242000 is about 41149.0218595777. The cubic root of 1693242000 is about 1191.8996094304.

Adding to 1693242000 its reverse (2423961), we get a palindrome (1695665961).

The spelling of 1693242000 in words is "one billion, six hundred ninety-three million, two hundred forty-two thousand".