Search a number
-
+
10404420210 = 2325964911981
BaseRepresentation
bin10011011000010011…
…01101101001110010
3222212002202022100200
421230021231221302
5132302012421320
64440230500030
7515555053422
oct115411555162
928762668320
1010404420210
11445a029998
122024504616
13c9a718982
14709b58482
1540d646290
hex26c26da72

10404420210 has 48 divisors (see below), whose sum is σ = 27056554200. Its totient is φ = 2773992960.

The previous prime is 10404420199. The next prime is 10404420211. The reversal of 10404420210 is 1202440401.

10404420210 is a `hidden beast` number, since 10 + 4 + 0 + 442 + 0 + 210 = 666.

10404420210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8909283321 + 1495136889 = 94389^2 + 38667^2 .

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 (10404420211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862420 + ... + 874400.

Almost surely, 210404420210 is an apocalyptic number.

10404420210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10404420210 is an abundant number, since it is smaller than the sum of its proper divisors (16652133990).

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

10404420210 is a wasteful number, since it uses less digits than its factorization.

10404420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21643 (or 21640 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10404420210 its reverse (1202440401), we get a palindrome (11606860611).

The spelling of 10404420210 in words is "ten billion, four hundred four million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 9649 11981 19298 23962 28947 35943 48245 57894 59905 71886 86841 96490 107829 119810 144735 173682 179715 215658 289470 359430 434205 539145 868410 1078290 115604669 231209338 346814007 578023345 693628014 1040442021 1156046690 1734070035 2080884042 3468140070 5202210105 10404420210