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14454060 = 22351931409
BaseRepresentation
bin110111001000…
…110100101100
31000012100020120
4313020310230
512200012220
61233444540
7233600055
oct67106454
930170216
1014454060
118182605
124a10750
132cc0cca
141cc372c
151407a40
hexdc8d2c

14454060 has 96 divisors (see below), whose sum is σ = 44083200. Its totient is φ = 3525120.

The previous prime is 14454059. The next prime is 14454119. The reversal of 14454060 is 6045441.

14454060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14454060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35136 + ... + 35544.

It is an arithmetic number, because the mean of its divisors is an integer number (459200).

Almost surely, 214454060 is an apocalyptic number.

14454060 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 14454060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041600).

14454060 is an abundant number, since it is smaller than the sum of its proper divisors (29629140).

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

14454060 is a wasteful number, since it uses less digits than its factorization.

14454060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14454060 is about 3801.8495498902. The cubic root of 14454060 is about 243.5921476326.

The spelling of 14454060 in words is "fourteen million, four hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 409 465 570 589 620 818 930 1140 1178 1227 1636 1767 1860 2045 2356 2454 2945 3534 4090 4908 5890 6135 7068 7771 8180 8835 11780 12270 12679 15542 17670 23313 24540 25358 31084 35340 38037 38855 46626 50716 63395 76074 77710 93252 116565 126790 152148 155420 190185 233130 240901 253580 380370 466260 481802 722703 760740 963604 1204505 1445406 2409010 2890812 3613515 4818020 7227030 14454060