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14449920 = 28355371
BaseRepresentation
bin110111000111…
…110100000000
31000012010120020
4313013310000
512144344140
61233413440
7233552022
oct67076400
930163506
1014449920
11817a491
124a0a280
132cbc164
141cc2012
1514066d0
hexdc7d00

14449920 has 144 divisors (see below), whose sum is σ = 47682432. Its totient is φ = 3727360.

The previous prime is 14449909. The next prime is 14449921. The reversal of 14449920 is 2994441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14449921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203485 + ... + 203555.

It is an arithmetic number, because the mean of its divisors is an integer number (331128).

Almost surely, 214449920 is an apocalyptic number.

14449920 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 14449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841216).

14449920 is an abundant number, since it is smaller than the sum of its proper divisors (33232512).

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

14449920 is an equidigital number, since it uses as much as digits as its factorization.

14449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 14449920 is about 3801.3050390622. The cubic root of 14449920 is about 243.5688884747.

The spelling of 14449920 in words is "fourteen million, four hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 71 80 96 106 120 128 142 159 160 192 212 213 240 256 265 284 318 320 355 384 424 426 480 530 568 636 640 710 768 795 848 852 960 1060 1065 1136 1272 1280 1420 1590 1696 1704 1920 2120 2130 2272 2544 2840 3180 3392 3408 3763 3840 4240 4260 4544 5088 5680 6360 6784 6816 7526 8480 8520 9088 10176 11289 11360 12720 13568 13632 15052 16960 17040 18176 18815 20352 22578 22720 25440 27264 30104 33920 34080 37630 40704 45156 45440 50880 54528 56445 60208 67840 68160 75260 90312 90880 101760 112890 120416 136320 150520 180624 203520 225780 240832 272640 301040 361248 451560 481664 602080 722496 903120 963328 1204160 1444992 1806240 2408320 2889984 3612480 4816640 7224960 14449920