Base | Representation |
---|---|
bin | 110101001110… |
… | …101011010000 |
3 | 222020220221100 |
4 | 311032223100 |
5 | 12033004434 |
6 | 1215024400 |
7 | 226414320 |
oct | 65165320 |
9 | 28226840 |
10 | 13953744 |
11 | 7970722 |
12 | 480b100 |
13 | 2b7736c |
14 | 1bd3280 |
15 | 1359699 |
hex | d4ead0 |
13953744 has 120 divisors (see below), whose sum is σ = 45393920. Its totient is φ = 3919104.
The previous prime is 13953739. The next prime is 13953757. The reversal of 13953744 is 44735931.
13953744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 13953699 and 13953708.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109809 + ... + 109935.
Almost surely, 213953744 is an apocalyptic number.
13953744 is a gapful number since it is divisible by the number (14) 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 13953744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22696960).
13953744 is an abundant number, since it is smaller than the sum of its proper divisors (31440176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13953744 is a wasteful number, since it uses less digits than its factorization.
13953744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 257 (or 248 counting only the distinct ones).
The product of its digits is 45360, while the sum is 36.
The square root of 13953744 is about 3735.4710546329. The cubic root of 13953744 is about 240.7484965438.
The spelling of 13953744 in words is "thirteen million, nine hundred fifty-three thousand, seven hundred forty-four".
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