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2023917840 = 243557107139
BaseRepresentation
bin111100010100010…
…1000100100010000
312020001100200100000
41320220220210100
513121110332330
6532455330000
7101104006050
oct17050504420
95201320300
102023917840
119494a347a
12485980900
132633ccb29
14152b23560
15bca39560
hex78a28910

2023917840 has 480 divisors, whose sum is σ = 8189475840. Its totient is φ = 454989312.

The previous prime is 2023917839. The next prime is 2023917869. The reversal of 2023917840 is 487193202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2023917795 and 2023917804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14560491 + ... + 14560629.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 22023917840 is an apocalyptic number.

2023917840 is a gapful number since it is divisible by the number (20) 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 2023917840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2023917840 is an abundant number, since it is smaller than the sum of its proper divisors (6165558000).

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

2023917840 is a wasteful number, since it uses less digits than its factorization.

2023917840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2023917840 is about 44987.9743931642. The cubic root of 2023917840 is about 1264.9235925875.

The spelling of 2023917840 in words is "two billion, twenty-three million, nine hundred seventeen thousand, eight hundred forty".