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5040130420 = 22513175032267
BaseRepresentation
bin1001011000110101…
…00100100101110100
3111000020220011011001
410230122210211310
540310233133140
62152043253044
7235620254533
oct45432444564
914006804131
105040130420
112157027646
12b87b1a184
1362426c8c0
1435b54a31a
151e7731e9a
hex12c6a4974

5040130420 has 96 divisors (see below), whose sum is σ = 12098274048. Its totient is φ = 1747249152.

The previous prime is 5040130349. The next prime is 5040130427. The reversal of 5040130420 is 240310405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040130427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222127 + ... + 2224393.

It is an arithmetic number, because the mean of its divisors is an integer number (126023688).

Almost surely, 25040130420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049137024).

5040130420 is an abundant number, since it is smaller than the sum of its proper divisors (7058143628).

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

5040130420 is a wasteful number, since it uses less digits than its factorization.

5040130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5040130420 is about 70993.8759330690. The cubic root of 5040130420 is about 1714.5385652366.

Adding to 5040130420 its reverse (240310405), we get a palindrome (5280440825).

It can be divided in two parts, 5040 and 130420, that added together give a triangular number (135460 = T520).

The spelling of 5040130420 in words is "five billion, forty million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 503 884 1006 1105 2012 2210 2267 2515 4420 4534 5030 6539 8551 9068 10060 11335 13078 17102 22670 26156 29471 32695 34204 38539 42755 45340 58942 65390 77078 85510 111163 117884 130780 147355 154156 171020 192695 222326 294710 385390 444652 501007 555815 589420 770780 1002014 1111630 1140301 2004028 2223260 2280602 2505035 4561204 5010070 5701505 10020140 11403010 14823913 19385117 22806020 29647826 38770234 59295652 74119565 77540468 96925585 148239130 193851170 252006521 296478260 387702340 504013042 1008026084 1260032605 2520065210 5040130420