Search a number
-
+
5001335140 = 225377195191
BaseRepresentation
bin1001010100001101…
…00101000101100100
3110220112220011000211
410222012211011210
540220320211030
62144135545204
7234636435004
oct45206450544
913815804024
105001335140
11213713a12a
12b76b2b204
13619208509
1435632c004
151e411c12a
hex12a1a5164

5001335140 has 48 divisors (see below), whose sum is σ = 10938703104. Its totient is φ = 1919030400.

The previous prime is 5001335093. The next prime is 5001335147. The reversal of 5001335140 is 415331005.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5001335147) 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, 4945 + ... + 100135.

It is an arithmetic number, because the mean of its divisors is an integer number (227889648).

Almost surely, 25001335140 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 5001335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469351552).

5001335140 is an abundant number, since it is smaller than the sum of its proper divisors (5937367964).

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

5001335140 is a wasteful number, since it uses less digits than its factorization.

5001335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95308 (or 95306 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5001335140 is about 70720.1183539734. The cubic root of 5001335140 is about 1710.1281369502.

Adding to 5001335140 its reverse (415331005), we get a palindrome (5416666145).

The spelling of 5001335140 in words is "five billion, one million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 710 740 1420 2627 5254 10508 13135 26270 52540 95191 190382 380764 475955 951910 1903820 3522067 6758561 7044134 13517122 14088268 17610335 27034244 33792805 35220670 67585610 70441340 135171220 250066757 500133514 1000267028 1250333785 2500667570 5001335140