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2024013040 = 24573614309
BaseRepresentation
bin111100010100011…
…1111110011110000
312020001112111220221
41320220333303300
513121121404130
6532501342424
7101104553440
oct17050776360
95201474827
102024013040
11949558a55
12485a07a14
1326343426a
14152b4a120
15bca5787a
hex78a3fcf0

2024013040 has 40 divisors (see below), whose sum is σ = 5378093280. Its totient is φ = 693947136.

The previous prime is 2024013031. The next prime is 2024013049. The reversal of 2024013040 is 403104202.

It is an interprime number because it is at equal distance from previous prime (2024013031) and next prime (2024013049).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024013049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806595 + ... + 1807714.

It is an arithmetic number, because the mean of its divisors is an integer number (134452332).

Almost surely, 22024013040 is an apocalyptic number.

2024013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024013040 is an abundant number, since it is smaller than the sum of its proper divisors (3354080240).

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

2024013040 is a wasteful number, since it uses less digits than its factorization.

2024013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614329 (or 3614323 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2024013040 is about 44989.0324412517. The cubic root of 2024013040 is about 1264.9434252170.

Adding to 2024013040 its reverse (403104202), we get a palindrome (2427117242).

The spelling of 2024013040 in words is "two billion, twenty-four million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3614309 7228618 14457236 18071545 25300163 28914472 36143090 50600326 57828944 72286180 101200652 126500815 144572360 202401304 253001630 289144720 404802608 506003260 1012006520 2024013040