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14456540 = 2257313331
BaseRepresentation
bin110111001001…
…011011011100
31000012110122102
4313021123130
512200102130
61233504232
7233610230
oct67113334
930173572
1014456540
11818445a
124a12078
132cc2187
141cc45c0
151408645
hexdc96dc

14456540 has 48 divisors (see below), whose sum is σ = 35825664. Its totient is φ = 4795200.

The previous prime is 14456539. The next prime is 14456543. The reversal of 14456540 is 4565441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2675 + ... + 6005.

It is an arithmetic number, because the mean of its divisors is an integer number (746368).

Almost surely, 214456540 is an apocalyptic number.

14456540 is a gapful number since it is divisible by the number (10) 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 14456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912832).

14456540 is an abundant number, since it is smaller than the sum of its proper divisors (21369124).

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

14456540 is a wasteful number, since it uses less digits than its factorization.

14456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 14456540 is about 3802.1756929421. The cubic root of 14456540 is about 243.6060785276.

The spelling of 14456540 in words is "fourteen million, four hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3331 4340 6662 13324 16655 23317 33310 46634 66620 93268 103261 116585 206522 233170 413044 466340 516305 722827 1032610 1445654 2065220 2891308 3614135 7228270 14456540