Search a number
-
+
6307238112 = 253723408077
BaseRepresentation
bin1011101111111000…
…01101000011100000
3121021120011220010120
411313330031003200
5100404123104422
62521510000240
7312204432210
oct56774150340
917246156116
106307238112
1127472a938a
121280346080
1379692c276
1443b948240
1526dac645c
hex177f0d0e0

6307238112 has 96 divisors (see below), whose sum is σ = 19744445952. Its totient is φ = 1723713024.

The previous prime is 6307238107. The next prime is 6307238141. The reversal of 6307238112 is 2118327036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 188583 + ... + 219494.

It is an arithmetic number, because the mean of its divisors is an integer number (205671312).

Almost surely, 26307238112 is an apocalyptic number.

It is an amenable number.

6307238112 is an abundant number, since it is smaller than the sum of its proper divisors (13437207840).

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

6307238112 is a wasteful number, since it uses less digits than its factorization.

6307238112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408120 (or 408112 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6307238112 is about 79418.1220629146. The cubic root of 6307238112 is about 1847.6217906324.

The spelling of 6307238112 in words is "six billion, three hundred seven million, two hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 408077 816154 1224231 1632308 2448462 2856539 3264616 4896924 5713078 6529232 8569617 9385771 9793848 11426156 13058464 17139234 18771542 19587696 22852312 28157313 34278468 37543084 39175392 45704624 56314626 65700397 68556936 75086168 91409248 112629252 131400794 137113872 150172336 197101191 225258504 262801588 274227744 300344672 394202382 450517008 525603176 788404764 901034016 1051206352 1576809528 2102412704 3153619056 6307238112