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2024010420 = 2235233144779
BaseRepresentation
bin111100010100011…
…1111001010110100
312020001112101022220
41320220333022310
513121121313140
6532501322340
7101104543005
oct17050771264
95201471286
102024010420
11949556a93
12485a063b0
13263433003
14152b491ac
15bca56bd0
hex78a3f2b4

2024010420 has 48 divisors (see below), whose sum is σ = 5691591360. Its totient is φ = 537415936.

The previous prime is 2024010413. The next prime is 2024010421. The reversal of 2024010420 is 240104202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2024010420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024010421) 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 15 ways as a sum of consecutive naturals, for example, 58410 + ... + 86369.

It is an arithmetic number, because the mean of its divisors is an integer number (118574820).

Almost surely, 22024010420 is an apocalyptic number.

2024010420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024010420 is an abundant number, since it is smaller than the sum of its proper divisors (3667580940).

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

2024010420 is a wasteful number, since it uses less digits than its factorization.

2024010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145024 (or 145022 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2024010420 is about 44989.0033230344. The cubic root of 2024010420 is about 1264.9428794113.

Adding to 2024010420 its reverse (240104202), we get a palindrome (2264114622).

The spelling of 2024010420 in words is "two billion, twenty-four million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 233 466 699 932 1165 1398 2330 2796 3495 4660 6990 13980 144779 289558 434337 579116 723895 868674 1447790 1737348 2171685 2895580 4343370 8686740 33733507 67467014 101200521 134934028 168667535 202401042 337335070 404802084 506002605 674670140 1012005210 2024010420