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14872320 = 283251291
BaseRepresentation
bin111000101110…
…111100000000
31000222120222200
4320232330000
512301403240
61250433200
7240261351
oct70567400
930876880
1014872320
118438881
124b92800
1331094b8
141d91d28
15148b930
hexe2ef00

14872320 has 108 divisors (see below), whose sum is σ = 51496536. Its totient is φ = 3962880.

The previous prime is 14872313. The next prime is 14872327. The reversal of 14872320 is 2327841.

It is an interprime number because it is at equal distance from previous prime (14872313) and next prime (14872327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14872327) 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 11 ways as a sum of consecutive naturals, for example, 10875 + ... + 12165.

Almost surely, 214872320 is an apocalyptic number.

14872320 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 14872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25748268).

14872320 is an abundant number, since it is smaller than the sum of its proper divisors (36624216).

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

14872320 is a wasteful number, since it uses less digits than its factorization.

14872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14872320 is about 3856.4647022889. The cubic root of 14872320 is about 245.9194660038.

The spelling of 14872320 in words is "fourteen million, eight hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1291 1440 1920 2304 2582 2880 3840 3873 5164 5760 6455 7746 10328 11520 11619 12910 15492 19365 20656 23238 25820 30984 38730 41312 46476 51640 58095 61968 77460 82624 92952 103280 116190 123936 154920 165248 185904 206560 232380 247872 309840 330496 371808 413120 464760 495744 619680 743616 826240 929520 991488 1239360 1487232 1652480 1859040 2478720 2974464 3718080 4957440 7436160 14872320