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47720 = 2351193
BaseRepresentation
bin1011101001101000
32102110102
423221220
53011340
61004532
7256061
oct135150
972412
1047720
1132942
1223748
131894a
1413568
15e215
hexba68

47720 has 16 divisors (see below), whose sum is σ = 107460. Its totient is φ = 19072.

The previous prime is 47717. The next prime is 47737. The reversal of 47720 is 2774.

47720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 196 = 218^2 + 14^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 47692 and 47701.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 636.

247720 is an apocalyptic number.

47720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47720 is an abundant number, since it is smaller than the sum of its proper divisors (59740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53730).

47720 is a wasteful number, since it uses less digits than its factorization.

47720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 47720 is about 218.4490787346. The cubic root of 47720 is about 36.2716082031.

It can be divided in two parts, 47 and 720, that added together give a palindrome (767).

The spelling of 47720 in words is "forty-seven thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 40 1193 2386 4772 5965 9544 11930 23860 47720