Search a number
-
+
1403212104 = 233275947189
BaseRepresentation
bin101001110100011…
…0101000101001000
310121210101120010200
41103220311011020
510333210241404
6351123412200
746526051250
oct12350650510
93553346120
101403212104
11660093028
12331b24060
13194934828
14d450a960
15832cb839
hex53a35148

1403212104 has 96 divisors (see below), whose sum is σ = 4416984000. Its totient is φ = 394114176.

The previous prime is 1403212091. The next prime is 1403212123. The reversal of 1403212104 is 4012123041.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6142 + ... + 53330.

It is an arithmetic number, because the mean of its divisors is an integer number (46010250).

Almost surely, 21403212104 is an apocalyptic number.

1403212104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208492000).

1403212104 is an abundant number, since it is smaller than the sum of its proper divisors (3013771896).

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

1403212104 is a wasteful number, since it uses less digits than its factorization.

1403212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47267 (or 47260 counting only the distinct ones).

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

The square root of 1403212104 is about 37459.4728206364. The cubic root of 1403212104 is about 1119.5438469816.

Adding to 1403212104 its reverse (4012123041), we get a palindrome (5415335145).

The spelling of 1403212104 in words is "one billion, four hundred three million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 7434 9912 14868 29736 47189 94378 141567 188756 283134 330323 377512 424701 566268 660646 849402 990969 1132536 1321292 1698804 1981938 2642584 2784151 2972907 3397608 3963876 5568302 5945814 7927752 8352453 11136604 11891628 16704906 19489057 22273208 23783256 25057359 33409812 38978114 50114718 58467171 66819624 77956228 100229436 116934342 155912456 175401513 200458872 233868684 350803026 467737368 701606052 1403212104