Search a number
-
+
112416006 = 23294311499
BaseRepresentation
bin1101011001101…
…01010100000110
321211112022202210
412230311110012
5212234303011
615053244250
72533343313
oct654652406
9254468683
10112416006
115850189a
1231793686
131a39cc61
1410d03d0a
159d086a6
hex6b35506

112416006 has 32 divisors (see below), whose sum is σ = 233280000. Its totient is φ = 36071840.

The previous prime is 112416001. The next prime is 112416037. The reversal of 112416006 is 600614211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112416001) by changing a digit.

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, 74245 + ... + 75743.

It is an arithmetic number, because the mean of its divisors is an integer number (7290000).

Almost surely, 2112416006 is an apocalyptic number.

112416006 is an abundant number, since it is smaller than the sum of its proper divisors (120863994).

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

112416006 is a wasteful number, since it uses less digits than its factorization.

112416006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 112416006 is about 10602.6414633336. The cubic root of 112416006 is about 482.6245211828.

The spelling of 112416006 in words is "one hundred twelve million, four hundred sixteen thousand, six".

Divisors: 1 2 3 6 29 58 87 174 431 862 1293 1499 2586 2998 4497 8994 12499 24998 37497 43471 74994 86942 130413 260826 646069 1292138 1938207 3876414 18736001 37472002 56208003 112416006