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14468520 = 23351197113
BaseRepresentation
bin110111001100…
…010110101000
31000020002002010
4313030112220
512200443040
61234035520
7233660163
oct67142650
930202063
1014468520
118192460
124a18ba0
132cc7771
141cc8ada
15140be80
hexdcc5a8

14468520 has 128 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 3440640.

The previous prime is 14468497. The next prime is 14468533. The reversal of 14468520 is 2586441.

14468520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127984 + ... + 128096.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 214468520 is an apocalyptic number.

14468520 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 14468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

14468520 is an abundant number, since it is smaller than the sum of its proper divisors (33794520).

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

14468520 is a wasteful number, since it uses less digits than its factorization.

14468520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14468520 is about 3803.7507804797. The cubic root of 14468520 is about 243.6733513108.

14468520 divided by its sum of digits (30) gives a palindrome (482284).

The spelling of 14468520 in words is "fourteen million, four hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 110 113 120 132 165 194 220 226 264 291 330 339 388 440 452 485 565 582 660 678 776 904 970 1067 1130 1164 1243 1320 1356 1455 1695 1940 2134 2260 2328 2486 2712 2910 3201 3390 3729 3880 4268 4520 4972 5335 5820 6215 6402 6780 7458 8536 9944 10670 10961 11640 12430 12804 13560 14916 16005 18645 21340 21922 24860 25608 29832 32010 32883 37290 42680 43844 49720 54805 64020 65766 74580 87688 109610 120571 128040 131532 149160 164415 219220 241142 263064 328830 361713 438440 482284 602855 657660 723426 964568 1205710 1315320 1446852 1808565 2411420 2893704 3617130 4822840 7234260 14468520