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14147360 = 255293049
BaseRepresentation
bin110101111101…
…111100100000
3222121202112022
4311331330200
512110203420
61223121012
7231151643
oct65757440
928552468
1014147360
117a93137
1248a3168
132c14526
141c43a5a
151396c25
hexd7df20

14147360 has 48 divisors (see below), whose sum is σ = 34587000. Its totient is φ = 5462016.

The previous prime is 14147347. The next prime is 14147407. The reversal of 14147360 is 6374141.

It can be written as a sum of positive squares in 4 ways, for example, as 8596624 + 5550736 = 2932^2 + 2356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3116 + ... + 6164.

Almost surely, 214147360 is an apocalyptic number.

14147360 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 14147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293500).

14147360 is an abundant number, since it is smaller than the sum of its proper divisors (20439640).

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

14147360 is a wasteful number, since it uses less digits than its factorization.

14147360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 14147360 is about 3761.2976484187. The cubic root of 14147360 is about 241.8568923719.

The spelling of 14147360 in words is "fourteen million, one hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 3049 4640 6098 12196 15245 24392 30490 48784 60980 88421 97568 121960 176842 243920 353684 442105 487840 707368 884210 1414736 1768420 2829472 3536840 7073680 14147360