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13673968 = 2471121009
BaseRepresentation
bin110100001010…
…010111110000
3221201201011021
4310022113300
512000031333
61205025224
7224140540
oct64122760
927651137
1013673968
11779a500
1246b5214
132aa9c09
141b5d320
15130182d
hexd0a5f0

13673968 has 60 divisors (see below), whose sum is σ = 33313840. Its totient is φ = 5322240.

The previous prime is 13673953. The next prime is 13673969. The reversal of 13673968 is 86937631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13673969) 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 11 ways as a sum of consecutive naturals, for example, 13048 + ... + 14056.

Almost surely, 213673968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13673968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656920).

13673968 is an abundant number, since it is smaller than the sum of its proper divisors (19639872).

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

13673968 is a wasteful number, since it uses less digits than its factorization.

13673968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 13673968 is about 3697.8328788630. The cubic root of 13673968 is about 239.1285991743.

It can be divided in two parts, 13673 and 968, that added together give a palindrome (14641).

The spelling of 13673968 in words is "thirteen million, six hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1009 1232 1694 1936 2018 3388 4036 6776 7063 8072 11099 13552 14126 16144 22198 28252 44396 56504 77693 88792 113008 122089 155386 177584 244178 310772 488356 621544 854623 976712 1243088 1709246 1953424 3418492 6836984 13673968