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14457450 = 235273281
BaseRepresentation
bin110111001001…
…101001101010
31000012111220010
4313021221222
512200114300
61233512350
7233613000
oct67115152
930174803
1014457450
118185107
124a126b6
132cc2707
141cc4a70
151408a50
hexdc9a6a

14457450 has 96 divisors (see below), whose sum is σ = 41961600. Its totient is φ = 3292800.

The previous prime is 14457449. The next prime is 14457451. The reversal of 14457450 is 5475441.

It is an interprime number because it is at equal distance from previous prime (14457449) and next prime (14457451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14457451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51310 + ... + 51590.

It is an arithmetic number, because the mean of its divisors is an integer number (437100).

Almost surely, 214457450 is an apocalyptic number.

14457450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14457450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980800).

14457450 is an abundant number, since it is smaller than the sum of its proper divisors (27504150).

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

14457450 is a wasteful number, since it uses less digits than its factorization.

14457450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 14457450 is about 3802.2953593849. The cubic root of 14457450 is about 243.6111898678.

Subtracting from 14457450 its reverse (5475441), we obtain a square (8982009 = 29972).

The spelling of 14457450 in words is "fourteen million, four hundred fifty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 281 294 343 350 490 525 562 686 735 843 1029 1050 1225 1405 1470 1686 1715 1967 2058 2450 2810 3430 3675 3934 4215 5145 5901 7025 7350 8430 8575 9835 10290 11802 13769 14050 17150 19670 21075 25725 27538 29505 41307 42150 49175 51450 59010 68845 82614 96383 98350 137690 147525 192766 206535 289149 295050 344225 413070 481915 578298 688450 963830 1032675 1445745 2065350 2409575 2891490 4819150 7228725 14457450