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13471120 = 2451312953
BaseRepresentation
bin110011011000…
…110110010000
3221100101220101
4303120312100
511422033440
61200422144
7222334255
oct63306620
927311811
1013471120
117671063
124617954
132a387a0
141b0942c
1512b169a
hexcd8d90

13471120 has 40 divisors (see below), whose sum is σ = 33732216. Its totient is φ = 4973568.

The previous prime is 13471103. The next prime is 13471121. The reversal of 13471120 is 2117431.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 13307904 = 404^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×134711203 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13471121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5437 + ... + 7516.

Almost surely, 213471120 is an apocalyptic number.

13471120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13471120 is an abundant number, since it is smaller than the sum of its proper divisors (20261096).

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

13471120 is a wasteful number, since it uses less digits than its factorization.

13471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 13471120 is about 3670.3024398542. The cubic root of 13471120 is about 237.9402434540.

Adding to 13471120 its reverse (2117431), we get a palindrome (15588551).

The spelling of 13471120 in words is "thirteen million, four hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 12953 25906 51812 64765 103624 129530 168389 207248 259060 336778 518120 673556 841945 1036240 1347112 1683890 2694224 3367780 6735560 13471120