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24380420 = 2251983773
BaseRepresentation
bin101110100000…
…0010000000100
31200212122122112
41131000100010
522220133140
62230320152
7414141641
oct135002004
950778575
1024380420
1112842409
1281b9058
1350881ac
143348dc8
152218c65
hex1740404

24380420 has 48 divisors (see below), whose sum is σ = 54613440. Its totient is φ = 9115776.

The previous prime is 24380413. The next prime is 24380443. The reversal of 24380420 is 2408342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31154 + ... + 31926.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 224380420 is an apocalyptic number.

24380420 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 24380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306720).

24380420 is an abundant number, since it is smaller than the sum of its proper divisors (30233020).

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

24380420 is a wasteful number, since it uses less digits than its factorization.

24380420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 24380420 is about 4937.6532887598. The cubic root of 24380420 is about 289.9659888770.

Adding to 24380420 its reverse (2408342), we get a palindrome (26788762).

The spelling of 24380420 in words is "twenty-four million, three hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 83 95 166 190 332 380 415 773 830 1546 1577 1660 3092 3154 3865 6308 7730 7885 14687 15460 15770 29374 31540 58748 64159 73435 128318 146870 256636 293740 320795 641590 1219021 1283180 2438042 4876084 6095105 12190210 24380420