Search a number
-
+
1233312420 = 2235191081853
BaseRepresentation
bin100100110000010…
…1101101010100100
310011221200202120210
41021200231222210
510011211444140
6322214055420
742363661014
oct11140555244
93157622523
101233312420
1158319996a
122a504a570
13168689082
14b9b21c44
157341ad80
hex4982daa4

1233312420 has 48 divisors (see below), whose sum is σ = 3635029440. Its totient is φ = 311573376.

The previous prime is 1233312407. The next prime is 1233312433. The reversal of 1233312420 is 242133321.

It is an interprime number because it is at equal distance from previous prime (1233312407) and next prime (1233312433).

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 15 ways as a sum of consecutive naturals, for example, 539787 + ... + 542066.

It is an arithmetic number, because the mean of its divisors is an integer number (75729780).

Almost surely, 21233312420 is an apocalyptic number.

1233312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233312420 is an abundant number, since it is smaller than the sum of its proper divisors (2401717020).

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

1233312420 is a wasteful number, since it uses less digits than its factorization.

1233312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081884 (or 1081882 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1233312420 is about 35118.5480907170. The cubic root of 1233312420 is about 1072.4022134153.

Adding to 1233312420 its reverse (242133321), we get a palindrome (1475445741).

It can be divided in two parts, 123331 and 2420, that added together give a triangular number (125751 = T501).

The spelling of 1233312420 in words is "one billion, two hundred thirty-three million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1081853 2163706 3245559 4327412 5409265 6491118 10818530 12982236 16227795 20555207 21637060 32455590 41110414 61665621 64911180 82220828 102776035 123331242 205552070 246662484 308328105 411104140 616656210 1233312420