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13953744 = 24327109127
BaseRepresentation
bin110101001110…
…101011010000
3222020220221100
4311032223100
512033004434
61215024400
7226414320
oct65165320
928226840
1013953744
117970722
12480b100
132b7736c
141bd3280
151359699
hexd4ead0

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".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 127 144 168 218 252 254 327 336 381 436 504 508 654 762 763 872 889 981 1008 1016 1143 1308 1524 1526 1744 1778 1962 2032 2286 2289 2616 2667 3048 3052 3556 3924 4572 4578 5232 5334 6096 6104 6867 7112 7848 8001 9144 9156 10668 12208 13734 13843 14224 15696 16002 18288 18312 21336 27468 27686 32004 36624 41529 42672 54936 55372 64008 83058 96901 109872 110744 124587 128016 166116 193802 221488 249174 290703 332232 387604 498348 581406 664464 775208 872109 996696 1162812 1550416 1744218 1993392 2325624 3488436 4651248 6976872 13953744