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5485160 = 235241569
BaseRepresentation
bin10100111011001001101000
3101022200020002
4110323021220
52401011120
6313322132
764423502
oct24731150
911280202
105485160
11310709a
121a06348
1311a0875
14a2ad72
15735375
hex53b268

5485160 has 32 divisors (see below), whose sum is σ = 12414600. Its totient is φ = 2181120.

The previous prime is 5485157. The next prime is 5485163. The reversal of 5485160 is 615845.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5485157) and next prime (5485163).

It can be written as a sum of positive squares in 4 ways, for example, as 4153444 + 1331716 = 2038^2 + 1154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485163) 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, 9356 + ... + 9924.

Almost surely, 25485160 is an apocalyptic number.

It is an amenable number.

5485160 is an abundant number, since it is smaller than the sum of its proper divisors (6929440).

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

5485160 is a wasteful number, since it uses less digits than its factorization.

5485160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5485160 is about 2342.0418442035. The cubic root of 5485160 is about 176.3585150704.

The spelling of 5485160 in words is "five million, four hundred eighty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 241 482 569 964 1138 1205 1928 2276 2410 2845 4552 4820 5690 9640 11380 22760 137129 274258 548516 685645 1097032 1371290 2742580 5485160