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2130404420 = 225353373809
BaseRepresentation
bin111111011111011…
…0110010001000100
312111110201202110102
41332332312101010
513330340420140
6551221543232
7103536065414
oct17676662104
95443652412
102130404420
119a3615411
124b5574b18
1327c4a4c41
14162d22644
15c7070e15
hex7efb6444

2130404420 has 48 divisors (see below), whose sum is σ = 4504111920. Its totient is φ = 846422016.

The previous prime is 2130404401. The next prime is 2130404447. The reversal of 2130404420 is 244040312.

It can be written as a sum of positive squares in 8 ways, for example, as 30382144 + 2100022276 = 5512^2 + 45826^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2130404392 and 2130404401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632976 + ... + 2633784.

It is an arithmetic number, because the mean of its divisors is an integer number (93835665).

Almost surely, 22130404420 is an apocalyptic number.

2130404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130404420 is an abundant number, since it is smaller than the sum of its proper divisors (2373707500).

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

2130404420 is a wasteful number, since it uses less digits than its factorization.

2130404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2130404420 is about 46156.3042281333. The cubic root of 2130404420 is about 1286.7297774205.

Adding to 2130404420 its reverse (244040312), we get a palindrome (2374444732).

The spelling of 2130404420 in words is "two billion, one hundred thirty million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 353 373 706 746 809 1412 1492 1618 1765 1865 3236 3530 3730 4045 7060 7460 8090 16180 131669 263338 285577 301757 526676 571154 603514 658345 1142308 1207028 1316690 1427885 1508785 2633380 2855770 3017570 5711540 6035140 106520221 213040442 426080884 532601105 1065202210 2130404420