Search a number
-
+
2024113020 = 2235223151279
BaseRepresentation
bin111100010100101…
…1000001101111100
312020001201121001220
41320221120031330
513121133104040
6532503433340
7101105451066
oct17051301574
95201647056
102024113020
11949617086
12485a55850
1326346a917
14152b74736
15bca772d0
hex78a5837c

2024113020 has 48 divisors (see below), whose sum is σ = 5692968960. Its totient is φ = 537339456.

The previous prime is 2024113019. The next prime is 2024113033. The reversal of 2024113020 is 203114202.

2024113020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 62260 + ... + 89019.

It is an arithmetic number, because the mean of its divisors is an integer number (118603520).

Almost surely, 22024113020 is an apocalyptic number.

2024113020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024113020 is an abundant number, since it is smaller than the sum of its proper divisors (3668855940).

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

2024113020 is a wasteful number, since it uses less digits than its factorization.

2024113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151514 (or 151512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2024113020 is about 44990.1435872347. The cubic root of 2024113020 is about 1264.9642529750.

Adding to 2024113020 its reverse (203114202), we get a palindrome (2227227222).

It can be divided in two parts, 20 and 24113020, that added together give a triangular number (24113040 = T6944).

The spelling of 2024113020 in words is "two billion, twenty-four million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 669 892 1115 1338 2230 2676 3345 4460 6690 13380 151279 302558 453837 605116 756395 907674 1512790 1815348 2269185 3025580 4538370 9076740 33735217 67470434 101205651 134940868 168676085 202411302 337352170 404822604 506028255 674704340 1012056510 2024113020