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23852020 = 2251731273
BaseRepresentation
bin101101011111…
…1001111110100
31122212210211011
41122333033310
522101231040
62211122004
7406511263
oct132771764
948783734
1023852020
1112511415
127ba3304
134c3182a
14324c5da
1521623ea
hex16bf3f4

23852020 has 72 divisors (see below), whose sum is σ = 55552392. Its totient is φ = 8570880.

The previous prime is 23851991. The next prime is 23852021. The reversal of 23852020 is 2025832.

It can be written as a sum of positive squares in 4 ways, for example, as 5550736 + 18301284 = 2356^2 + 4278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23851982 and 23852000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23852021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326704 + ... + 326776.

It is an arithmetic number, because the mean of its divisors is an integer number (771561).

Almost surely, 223852020 is an apocalyptic number.

23852020 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 23852020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27776196).

23852020 is an abundant number, since it is smaller than the sum of its proper divisors (31700372).

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

23852020 is a wasteful number, since it uses less digits than its factorization.

23852020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 23852020 is about 4883.8529871404. The cubic root of 23852020 is about 287.8558467115.

Adding to 23852020 its reverse (2025832), we get a palindrome (25877852).

The spelling of 23852020 in words is "twenty-three million, eight hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 73 85 124 146 155 170 292 310 340 365 527 620 730 961 1054 1241 1460 1922 2108 2263 2482 2635 3844 4526 4805 4964 5270 6205 9052 9610 10540 11315 12410 16337 19220 22630 24820 32674 38471 45260 65348 70153 76942 81685 140306 153884 163370 192355 280612 326740 350765 384710 701530 769420 1192601 1403060 2385202 4770404 5963005 11926010 23852020