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14454120 = 2335235237
BaseRepresentation
bin110111001000…
…110101101000
31000012100022210
4313020311220
512200012440
61233445120
7233600202
oct67106550
930170283
1014454120
11818265a
124a107a0
132cc1045
141cc3772
151407a80
hexdc8d68

14454120 has 64 divisors (see below), whose sum is σ = 45256320. Its totient is φ = 3686144.

The previous prime is 14454119. The next prime is 14454127. The reversal of 14454120 is 2145441.

It is a happy number.

14454120 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 not an unprimeable number, because it can be changed into a prime (14454127) 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, 142 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (707130).

Almost surely, 214454120 is an apocalyptic number.

14454120 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 14454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628160).

14454120 is an abundant number, since it is smaller than the sum of its proper divisors (30802200).

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

14454120 is a wasteful number, since it uses less digits than its factorization.

14454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 14454120 is about 3801.8574407781. The cubic root of 14454120 is about 243.5924846892.

Adding to 14454120 its reverse (2145441), we get a palindrome (16599561).

It can be divided in two parts, 1445 and 4120, that added together give a triangular number (5565 = T105).

The spelling of 14454120 in words is "fourteen million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 5237 10474 15711 20948 26185 31422 41896 52370 62844 78555 104740 120451 125688 157110 209480 240902 314220 361353 481804 602255 628440 722706 963608 1204510 1445412 1806765 2409020 2890824 3613530 4818040 7227060 14454120