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16814240 = 255195531
BaseRepresentation
bin100000000100…
…1000010100000
31011122020210122
41000021002200
513301023430
61400215412
7262630052
oct100110240
934566718
1016814240
119544873
12576a568
133639371
1423398d2
151721ee5
hex10090a0

16814240 has 48 divisors (see below), whose sum is σ = 41821920. Its totient is φ = 6370560.

The previous prime is 16814227. The next prime is 16814249. The reversal of 16814240 is 4241861.

It is not an unprimeable number, because it can be changed into a prime (16814249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (871290).

Almost surely, 216814240 is an apocalyptic number.

16814240 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 16814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910960).

16814240 is an abundant number, since it is smaller than the sum of its proper divisors (25007680).

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

16814240 is a wasteful number, since it uses less digits than its factorization.

16814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 16814240 is about 4100.5170405694. The cubic root of 16814240 is about 256.1881754479.

The spelling of 16814240 in words is "sixteen million, eight hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 5531 11062 22124 27655 44248 55310 88496 105089 110620 176992 210178 221240 420356 442480 525445 840712 884960 1050890 1681424 2101780 3362848 4203560 8407120 16814240