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24133420 = 22519411549
BaseRepresentation
bin101110000001…
…1111100101100
31200102002211101
41130003330230
522134232140
62221132444
7412062553
oct134037454
950362741
1024133420
1112693883
1280ba124
134ccc93c
1432c2d9a
1521ba99a
hex1703f2c

24133420 has 48 divisors (see below), whose sum is σ = 54684000. Its totient is φ = 8916480.

The previous prime is 24133409. The next prime is 24133427. The reversal of 24133420 is 2433142.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (24133427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 16354.

It is an arithmetic number, because the mean of its divisors is an integer number (1139250).

Almost surely, 224133420 is an apocalyptic number.

24133420 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 24133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342000).

24133420 is an abundant number, since it is smaller than the sum of its proper divisors (30550580).

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

24133420 is a wasteful number, since it uses less digits than its factorization.

24133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 24133420 is about 4912.5777347539. The cubic root of 24133420 is about 288.9834403414.

Adding to 24133420 its reverse (2433142), we get a palindrome (26566562).

The spelling of 24133420 in words is "twenty-four million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1549 1558 3098 3116 3895 6196 7745 7790 15490 15580 29431 30980 58862 63509 117724 127018 147155 254036 294310 317545 588620 635090 1206671 1270180 2413342 4826684 6033355 12066710 24133420