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14375520 = 2532567149
BaseRepresentation
bin110110110101…
…101001100000
31000001100111200
4312311221200
512140004040
61232041200
7233122065
oct66655140
930040450
1014375520
1181295a5
124993200
132c94333
141ca2c6c
1513de630
hexdb5a60

14375520 has 144 divisors (see below), whose sum is σ = 50122800. Its totient is φ = 3750912.

The previous prime is 14375507. The next prime is 14375567. The reversal of 14375520 is 2557341.

It is a happy number.

14375520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96406 + ... + 96554.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 214375520 is an apocalyptic number.

14375520 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 14375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061400).

14375520 is an abundant number, since it is smaller than the sum of its proper divisors (35747280).

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

14375520 is a wasteful number, since it uses less digits than its factorization.

14375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

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

The square root of 14375520 is about 3791.5062969749. The cubic root of 14375520 is about 243.1501383813.

The spelling of 14375520 in words is "fourteen million, three hundred seventy-five thousand, five 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 67 72 80 90 96 120 134 144 149 160 180 201 240 268 288 298 335 360 402 447 480 536 596 603 670 720 745 804 894 1005 1072 1192 1206 1340 1341 1440 1490 1608 1788 2010 2144 2235 2384 2412 2680 2682 2980 3015 3216 3576 4020 4470 4768 4824 5360 5364 5960 6030 6432 6705 7152 8040 8940 9648 9983 10720 10728 11920 12060 13410 14304 16080 17880 19296 19966 21456 23840 24120 26820 29949 32160 35760 39932 42912 48240 49915 53640 59898 71520 79864 89847 96480 99830 107280 119796 149745 159728 179694 199660 214560 239592 299490 319456 359388 399320 449235 479184 598980 718776 798640 898470 958368 1197960 1437552 1597280 1796940 2395920 2875104 3593880 4791840 7187760 14375520