Search a number
-
+
2110204016 = 241724310613
BaseRepresentation
bin111110111000111…
…0010100001110000
312110001201110201022
41331301302201300
513310203012031
6545220555012
7103202303204
oct17561624160
95401643638
102110204016
11993178568
124aa852a68
1327825153b
14160384b04
15c53d097b
hex7dc72870

2110204016 has 60 divisors (see below), whose sum is σ = 4444591272. Its totient is φ = 969851904.

The previous prime is 2110203967. The next prime is 2110204027. The reversal of 2110204016 is 6104020112.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2110203985 and 2110204003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193526 + ... + 204138.

Almost surely, 22110204016 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 2110204016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222295636).

2110204016 is an abundant number, since it is smaller than the sum of its proper divisors (2334387256).

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

2110204016 is a wasteful number, since it uses less digits than its factorization.

2110204016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10698 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2110204016 is about 45936.9569736612. The cubic root of 2110204016 is about 1282.6499495480.

Adding to 2110204016 its reverse (6104020112), we get a palindrome (8214224128).

The spelling of 2110204016 in words is "two billion, one hundred ten million, two hundred four thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 289 344 578 688 731 1156 1462 2312 2924 4624 5848 10613 11696 12427 21226 24854 42452 49708 84904 99416 169808 180421 198832 360842 456359 721684 912718 1443368 1825436 2886736 3067157 3650872 6134314 7301744 7758103 12268628 15516206 24537256 31032412 49074512 62064824 124129648 131887751 263775502 527551004 1055102008 2110204016