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14720368 = 24131723181
BaseRepresentation
bin111000001001…
…110101110000
31000200212112211
4320021311300
512232022433
61243301504
7236056345
oct70116560
930625484
1014720368
1183446a3
124b1a894
1330852a0
141d527cc
15145b8cd
hexe09d70

14720368 has 80 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 6082560.

The previous prime is 14720347. The next prime is 14720389. The reversal of 14720368 is 86302741.

It is an interprime number because it is at equal distance from previous prime (14720347) and next prime (14720389).

It is a congruent number.

It is an unprimeable number.

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, 81238 + ... + 81418.

It is a vampire number, since it can be written as 31284706 (with its own digits).

Almost surely, 214720368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14720368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

14720368 is an abundant number, since it is smaller than the sum of its proper divisors (19402448).

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

14720368 is a wasteful number, since it uses less digits than its factorization.

14720368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 14720368 is about 3836.7131766657. The cubic root of 14720368 is about 245.0790693007.

The spelling of 14720368 in words is "fourteen million, seven hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 34 46 52 68 92 104 136 181 184 208 221 272 299 362 368 391 442 598 724 782 884 1196 1448 1564 1768 2353 2392 2896 3077 3128 3536 4163 4706 4784 5083 6154 6256 8326 9412 10166 12308 16652 18824 20332 24616 33304 37648 40001 40664 49232 54119 66608 70771 80002 81328 108238 141542 160004 216476 283084 320008 432952 566168 640016 865904 920023 1132336 1840046 3680092 7360184 14720368