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13819696 = 2411233337
BaseRepresentation
bin110100101101…
…111100110000
3222000010001121
4310231330300
512014212241
61212112024
7225315442
oct64557460
928003047
1013819696
117889a40
124765614
132b2b347
141b9a492
15132ead1
hexd2df30

13819696 has 40 divisors (see below), whose sum is σ = 29422224. Its totient is φ = 6236160.

The previous prime is 13819693. The next prime is 13819717. The reversal of 13819696 is 69691831.

It is not an unprimeable number, because it can be changed into a prime (13819693) 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 7 ways as a sum of consecutive naturals, for example, 40840 + ... + 41176.

Almost surely, 213819696 is an apocalyptic number.

13819696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13819696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711112).

13819696 is an abundant number, since it is smaller than the sum of its proper divisors (15602528).

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

13819696 is a wasteful number, since it uses less digits than its factorization.

13819696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The square root of 13819696 is about 3717.4851714566. The cubic root of 13819696 is about 239.9750900072.

The spelling of 13819696 in words is "thirteen million, eight hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 337 466 674 932 1348 1864 2563 2696 3707 3728 5126 5392 7414 10252 14828 20504 29656 41008 59312 78521 157042 314084 628168 863731 1256336 1727462 3454924 6909848 13819696