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47120 = 2451931
BaseRepresentation
bin1011100000010000
32101122012
423200100
53001440
61002052
7254243
oct134020
971565
1047120
1132447
1223328
13185a8
141325a
15de65
hexb810

47120 has 40 divisors (see below), whose sum is σ = 119040. Its totient is φ = 17280.

The previous prime is 47119. The next prime is 47123. The reversal of 47120 is 2174.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47095 and 47104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47120.

It is not an unprimeable number, because it can be changed into a prime (47123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

247120 is an apocalyptic number.

47120 is a gapful number since it is divisible by the number (40) 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 47120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

47120 is an abundant number, since it is smaller than the sum of its proper divisors (71920).

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

47120 is a wasteful number, since it uses less digits than its factorization.

47120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 47120 is about 217.0714168194. The cubic root of 47120 is about 36.1189481128.

Adding to 47120 its reverse (2174), we get a palindrome (49294).

The spelling of 47120 in words is "forty-seven thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 47120