Search a number
-
+
14067456 = 283131409
BaseRepresentation
bin110101101010…
…011100000000
3222110200220220
4311222130000
512100124311
61221303040
7230366664
oct65523400
928420826
1014067456
117a390a7
124864a80
132bb7050
141c228a4
15137d206
hexd6a700

14067456 has 72 divisors (see below), whose sum is σ = 40348560. Its totient is φ = 4325376.

The previous prime is 14067439. The next prime is 14067457. The reversal of 14067456 is 65476041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14067457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9280 + ... + 10688.

Almost surely, 214067456 is an apocalyptic number.

14067456 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 14067456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174280).

14067456 is an abundant number, since it is smaller than the sum of its proper divisors (26281104).

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

14067456 is a wasteful number, since it uses less digits than its factorization.

14067456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 14067456 is about 3750.6607417894. The cubic root of 14067456 is about 241.4006981715.

The spelling of 14067456 in words is "fourteen million, sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1409 1664 2496 2818 3328 4227 4992 5636 8454 9984 11272 16908 18317 22544 33816 36634 45088 54951 67632 73268 90176 109902 135264 146536 180352 219804 270528 293072 360704 439608 541056 586144 879216 1082112 1172288 1758432 2344576 3516864 4689152 7033728 14067456