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14675440 = 24513103137
BaseRepresentation
bin110111111110…
…110111110000
31000121120220211
4313332313300
512224103230
61242313504
7235511353
oct67766760
930546824
1014675440
11831396a
124ab8894
13306a9c0
141d4029a
15144d42a
hexdfedf0

14675440 has 80 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 5326848.

The previous prime is 14675389. The next prime is 14675443. The reversal of 14675440 is 4457641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14675443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107052 + ... + 107188.

Almost surely, 214675440 is an apocalyptic number.

14675440 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 14675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

14675440 is an abundant number, since it is smaller than the sum of its proper divisors (22697168).

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

14675440 is a wasteful number, since it uses less digits than its factorization.

14675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 14675440 is about 3830.8536907588. The cubic root of 14675440 is about 244.8294801241.

The spelling of 14675440 in words is "fourteen million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 137 206 208 260 274 412 515 520 548 685 824 1030 1040 1096 1339 1370 1648 1781 2060 2192 2678 2740 3562 4120 5356 5480 6695 7124 8240 8905 10712 10960 13390 14111 14248 17810 21424 26780 28222 28496 35620 53560 56444 70555 71240 107120 112888 141110 142480 183443 225776 282220 366886 564440 733772 917215 1128880 1467544 1834430 2935088 3668860 7337720 14675440