Search a number
-
+
24252020 = 22513372521
BaseRepresentation
bin101110010000…
…0111001110100
31200122010111222
41130200321310
522202031040
62223445512
7413065412
oct134407164
950563458
1024252020
11127649a1
128156898
135041910
1433142b2
1521e0bb5
hex1720e74

24252020 has 48 divisors (see below), whose sum is σ = 56351568. Its totient is φ = 8709120.

The previous prime is 24252017. The next prime is 24252073. The reversal of 24252020 is 2025242.

It can be written as a sum of positive squares in 8 ways, for example, as 3984016 + 20268004 = 1996^2 + 4502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24252020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8360 + ... + 10880.

It is an arithmetic number, because the mean of its divisors is an integer number (1173991).

Almost surely, 224252020 is an apocalyptic number.

24252020 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 24252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28175784).

24252020 is an abundant number, since it is smaller than the sum of its proper divisors (32099548).

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

24252020 is a wasteful number, since it uses less digits than its factorization.

24252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 24252020 is about 4924.6339965524. The cubic root of 24252020 is about 289.4560552872.

Adding to 24252020 its reverse (2025242), we get a palindrome (26277262).

The spelling of 24252020 in words is "twenty-four million, two hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 2521 4810 5042 9620 10084 12605 25210 32773 50420 65546 93277 131092 163865 186554 327730 373108 466385 655460 932770 1212601 1865540 2425202 4850404 6063005 12126010 24252020