Search a number
-
+
2011423410 = 232519261909
BaseRepresentation
bin111011111100011…
…1110001010110010
312012011211220012100
41313320332022302
513104411022120
6531331441230
7100562550123
oct16770761262
95164756170
102011423410
1194243a1a7
12481756216
13260946a89
141511d004a
15bb8bc490
hex77e3e2b2

2011423410 has 72 divisors (see below), whose sum is σ = 5519524140. Its totient is φ = 508140864.

The previous prime is 2011423409. The next prime is 2011423417. The reversal of 2011423410 is 143241102.

2011423410 is a `hidden beast` number, since 201 + 1 + 423 + 41 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1931338809 + 80084601 = 43947^2 + 8949^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2011423417) 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 35 ways as a sum of consecutive naturals, for example, 1536 + ... + 63444.

Almost surely, 22011423410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011423410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759762070).

2011423410 is an abundant number, since it is smaller than the sum of its proper divisors (3508100730).

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

2011423410 is a wasteful number, since it uses less digits than its factorization.

2011423410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61960 (or 61938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2011423410 is about 44848.8953041209. The cubic root of 2011423410 is about 1262.3152631044.

Adding to 2011423410 its reverse (143241102), we get a palindrome (2154664512).

The spelling of 2011423410 in words is "two billion, eleven million, four hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2166 3249 3610 5415 6498 10830 16245 32490 61909 123818 185727 309545 371454 557181 619090 928635 1114362 1176271 1857270 2352542 2785905 3528813 5571810 5881355 7057626 10586439 11762710 17644065 21172878 22349149 35288130 44698298 52932195 67047447 105864390 111745745 134094894 201142341 223491490 335237235 402284682 670474470 1005711705 2011423410