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4210135540 = 2251319981371
BaseRepresentation
bin1111101011110001…
…1001000111110100
3101212102010001012221
43322330121013310
532110243314130
61533433452124
7206221363432
oct37274310764
911772101187
104210135540
11187056a166
12995b71044
13521317180
142bd213d52
1519993287a
hexfaf191f4

4210135540 has 48 divisors (see below), whose sum is σ = 9569347200. Its totient is φ = 1546680960.

The previous prime is 4210135529. The next prime is 4210135541. The reversal of 4210135540 is 455310124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4210135541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11055 + ... + 92425.

It is an arithmetic number, because the mean of its divisors is an integer number (199361400).

Almost surely, 24210135540 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 4210135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784673600).

4210135540 is an abundant number, since it is smaller than the sum of its proper divisors (5359211660).

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

4210135540 is a wasteful number, since it uses less digits than its factorization.

4210135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81592 (or 81590 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4210135540 is about 64885.5572527508. The cubic root of 4210135540 is about 1614.7254582251.

Adding to 4210135540 its reverse (455310124), we get a palindrome (4665445664).

The spelling of 4210135540 in words is "four billion, two hundred ten million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 199 260 398 796 995 1990 2587 3980 5174 10348 12935 25870 51740 81371 162742 325484 406855 813710 1057823 1627420 2115646 4231292 5289115 10578230 16192829 21156460 32385658 64771316 80964145 161928290 210506777 323856580 421013554 842027108 1052533885 2105067770 4210135540