Search a number
-
+
2023053120 = 2632511193361
BaseRepresentation
bin111100010010101…
…0101011101000000
312012222201202011100
41320211111131000
513120400144440
6532425014400
7101063445024
oct17045253500
95188652140
102023053120
11948a62830
12485624400
1326318936a
1415297a384
15bc918230
hex78955740

2023053120 has 336 divisors, whose sum is σ = 7992953280. Its totient is φ = 464486400.

The previous prime is 2023053059. The next prime is 2023053163. The reversal of 2023053120 is 213503202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2023053093 and 2023053102.

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, 600240 + ... + 603600.

Almost surely, 22023053120 is an apocalyptic number.

2023053120 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 2023053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996476640).

2023053120 is an abundant number, since it is smaller than the sum of its proper divisors (5969900160).

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

2023053120 is a wasteful number, since it uses less digits than its factorization.

2023053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2023053120 is about 44978.3627981277. The cubic root of 2023053120 is about 1264.7434204941.

Adding to 2023053120 its reverse (213503202), we get a palindrome (2236556322).

The spelling of 2023053120 in words is "two billion, twenty-three million, fifty-three thousand, one hundred twenty".