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14474820 = 22351723617
BaseRepresentation
bin110111001101…
…111001000100
31000020101201110
4313031321010
512201143240
61234125020
7234014433
oct67157104
930211643
1014474820
118197168
124a20770
132cca5a9
141ccb11a
15140dc80
hexdcde44

14474820 has 96 divisors (see below), whose sum is σ = 44851968. Its totient is φ = 3469312.

The previous prime is 14474809. The next prime is 14474821. The reversal of 14474820 is 2847441.

It is a super-3 number, since 3×144748203 (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14474821) 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 31 ways as a sum of consecutive naturals, for example, 23152 + ... + 23768.

It is an arithmetic number, because the mean of its divisors is an integer number (467208).

Almost surely, 214474820 is an apocalyptic number.

14474820 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 14474820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22425984).

14474820 is an abundant number, since it is smaller than the sum of its proper divisors (30377148).

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

14474820 is a wasteful number, since it uses less digits than its factorization.

14474820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 14474820 is about 3804.5788203164. The cubic root of 14474820 is about 243.7087135859.

The spelling of 14474820 in words is "fourteen million, four hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 617 690 782 1020 1173 1234 1380 1564 1851 1955 2346 2468 3085 3702 3910 4692 5865 6170 7404 7820 9255 10489 11730 12340 14191 18510 20978 23460 28382 31467 37020 41956 42573 52445 56764 62934 70955 85146 104890 125868 141910 157335 170292 209780 212865 241247 283820 314670 425730 482494 629340 723741 851460 964988 1206235 1447482 2412470 2894964 3618705 4824940 7237410 14474820