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47013120 = 2832571153
BaseRepresentation
bin1011001101010…
…1110100000000
310021110111212200
42303111310000
544013404440
64355353200
71110414330
oct263256400
9107414780
1047013120
11245a0720
12138b2800
139980a1b
14635b0c0
1541d9c30
hex2cd5d00

47013120 has 432 divisors, whose sum is σ = 206623872. Its totient is φ = 9584640.

The previous prime is 47013119. The next prime is 47013133. The reversal of 47013120 is 2131074.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 47013093 and 47013102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 887014 + ... + 887066.

It is an arithmetic number, because the mean of its divisors is an integer number (478296).

Almost surely, 247013120 is an apocalyptic number.

47013120 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 47013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103311936).

47013120 is an abundant number, since it is smaller than the sum of its proper divisors (159610752).

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

47013120 is a wasteful number, since it uses less digits than its factorization.

47013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47013120 is about 6856.6114079770. The cubic root of 47013120 is about 360.9161848885.

Adding to 47013120 its reverse (2131074), we get a palindrome (49144194).

The spelling of 47013120 in words is "forty-seven million, thirteen thousand, one hundred twenty".