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14557320 = 233454493
BaseRepresentation
bin110111100010…
…000010001000
31000101120220000
4313202002020
512211313240
61240003000
7234510111
oct67420210
930346800
1014557320
118243148
124a60460
133028ccb
141d0d208
151428430
hexde2088

14557320 has 80 divisors (see below), whose sum is σ = 48939660. Its totient is φ = 3881088.

The previous prime is 14557303. The next prime is 14557373. The reversal of 14557320 is 2375541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 1205604 = 3654^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 994 + ... + 5486.

Almost surely, 214557320 is an apocalyptic number.

14557320 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 14557320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469830).

14557320 is an abundant number, since it is smaller than the sum of its proper divisors (34382340).

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

14557320 is a wasteful number, since it uses less digits than its factorization.

14557320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 14557320 is about 3815.4056140861. The cubic root of 14557320 is about 244.1708469324.

The spelling of 14557320 in words is "fourteen million, five hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 4493 8986 13479 17972 22465 26958 35944 40437 44930 53916 67395 80874 89860 107832 121311 134790 161748 179720 202185 242622 269580 323496 363933 404370 485244 539160 606555 727866 808740 970488 1213110 1455732 1617480 1819665 2426220 2911464 3639330 4852440 7278660 14557320