Search a number
-
+
4140003220 = 2252327732491
BaseRepresentation
bin1111011011000011…
…0110111110010100
3101200112010221202121
43312300312332110
531434320100340
61522450345324
7204410306143
oct36660667624
911615127677
104140003220
111834a18771
1297658b244
1350c930362
142b3b9975a
151936cc94a
hexf6c36f94

4140003220 has 48 divisors (see below), whose sum is σ = 9105038208. Its totient is φ = 1578234240.

The previous prime is 4140003211. The next prime is 4140003239. The reversal of 4140003220 is 223000414.

It is a super-2 number, since 2×41400032202 = 34279253323220736800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4140003194 and 4140003203.

It is a congruent number.

It is an unprimeable number.

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, 111175 + ... + 143665.

It is an arithmetic number, because the mean of its divisors is an integer number (189688296).

Almost surely, 24140003220 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 4140003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552519104).

4140003220 is an abundant number, since it is smaller than the sum of its proper divisors (4965034988).

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

4140003220 is a wasteful number, since it uses less digits than its factorization.

4140003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32800 (or 32798 counting only the distinct ones).

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

The square root of 4140003220 is about 64342.8567907891. The cubic root of 4140003220 is about 1605.7091899260.

Adding to 4140003220 its reverse (223000414), we get a palindrome (4363003634).

The spelling of 4140003220 in words is "four billion, one hundred forty million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 554 1108 1385 2770 5540 6371 12742 25484 31855 32491 63710 64982 127420 129964 162455 324910 649820 747293 1494586 2989172 3736465 7472930 9000007 14945860 18000014 36000028 45000035 90000070 180000140 207000161 414000322 828000644 1035000805 2070001610 4140003220