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12416016 = 243376991
BaseRepresentation
bin101111010111…
…010000010000
3212100210120110
4233113100100
511134303031
61122041320
7210351204
oct57272020
925323513
1012416016
117010378
1241a9240
132759472
141912b04
151153c46
hexbd7410

12416016 has 40 divisors (see below), whose sum is σ = 32946304. Its totient is φ = 4026240.

The previous prime is 12416009. The next prime is 12416017. The reversal of 12416016 is 61061421.

It is a junction number, because it is equal to n+sod(n) for n = 12415983 and 12416001.

It is not an unprimeable number, because it can be changed into a prime (12416017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720 + ... + 5271.

Almost surely, 212416016 is an apocalyptic number.

12416016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12416016 is an abundant number, since it is smaller than the sum of its proper divisors (20530288).

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

12416016 is a wasteful number, since it uses less digits than its factorization.

12416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7033 counting only the distinct ones).

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

The square root of 12416016 is about 3523.6367576696. The cubic root of 12416016 is about 231.5585143491.

Adding to 12416016 its reverse (61061421), we get a palindrome (73477437).

The spelling of 12416016 in words is "twelve million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 6991 13982 20973 27964 41946 55928 83892 111856 167784 258667 335568 517334 776001 1034668 1552002 2069336 3104004 4138672 6208008 12416016