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2023420410 = 232511171091103
BaseRepresentation
bin111100010011010…
…1111000111111010
312020000102101222200
41320212233013322
513120443423120
6532440531030
7101066534604
oct17046570772
95200371880
102023420410
11949193780
12485780a76
132632875ab
14152a34174
15bc98be90
hex789af1fa

2023420410 has 192 divisors, whose sum is σ = 6138063360. Its totient is φ = 457021440.

The previous prime is 2023420391. The next prime is 2023420417. The reversal of 2023420410 is 140243202.

2023420410 is a `hidden beast` number, since 2 + 0 + 234 + 20 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2023420417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1833919 + ... + 1835021.

It is an arithmetic number, because the mean of its divisors is an integer number (31969080).

Almost surely, 22023420410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023420410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069031680).

2023420410 is an abundant number, since it is smaller than the sum of its proper divisors (4114642950).

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

2023420410 is a wasteful number, since it uses less digits than its factorization.

2023420410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2023420410 is about 44982.4455760244. The cubic root of 2023420410 is about 1264.8199548993.

Adding to 2023420410 its reverse (140243202), we get a palindrome (2163663612).

The spelling of 2023420410 in words is "two billion, twenty-three million, four hundred twenty thousand, four hundred ten".