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14147160 = 2335313803
BaseRepresentation
bin110101111101…
…111001011000
3222121202020220
4311331321120
512110202120
61223120040
7231151236
oct65757130
928552226
1014147160
117a92a75
1248a3020
132c14401
141c43956
151396b40
hexd7de58

14147160 has 64 divisors (see below), whose sum is σ = 43822080. Its totient is φ = 3649920.

The previous prime is 14147143. The next prime is 14147167. The reversal of 14147160 is 6174141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14147160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819 + ... + 5621.

It is an arithmetic number, because the mean of its divisors is an integer number (684720).

Almost surely, 214147160 is an apocalyptic number.

14147160 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 14147160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21911040).

14147160 is an abundant number, since it is smaller than the sum of its proper divisors (29674920).

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

14147160 is a wasteful number, since it uses less digits than its factorization.

14147160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 14147160 is about 3761.2710617556. The cubic root of 14147160 is about 241.8557526632.

The spelling of 14147160 in words is "fourteen million, one hundred forty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 3803 7606 11409 15212 19015 22818 30424 38030 45636 57045 76060 91272 114090 117893 152120 228180 235786 353679 456360 471572 589465 707358 943144 1178930 1414716 1768395 2357860 2829432 3536790 4715720 7073580 14147160