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47040 = 263572
BaseRepresentation
bin1011011111000000
32101112020
423133000
53001130
61001440
7254100
oct133700
971466
1047040
1132384
1223280
1318546
1413200
15de10
hexb7c0

47040 has 84 divisors (see below), whose sum is σ = 173736. Its totient is φ = 10752.

The previous prime is 47017. The next prime is 47041. The reversal of 47040 is 4074.

Multipling 47040 by its sum of digits (15), we get a square (705600 = 8402).

47040 divided by its sum of digits (15) gives a square (3136 = 562).

47040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47040.

It is not an unprimeable number, because it can be changed into a prime (47041) by changing a digit.

47040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6717 + ... + 6723.

247040 is an apocalyptic number.

47040 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 47040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86868).

47040 is an abundant number, since it is smaller than the sum of its proper divisors (126696).

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

47040 is a wasteful number, since it uses less digits than its factorization.

47040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 47040 is about 216.8870673876. The cubic root of 47040 is about 36.0984957029.

The spelling of 47040 in words is "forty-seven thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 140 147 160 168 192 196 210 224 240 245 280 294 320 336 392 420 448 480 490 560 588 672 735 784 840 960 980 1120 1176 1344 1470 1568 1680 1960 2240 2352 2940 3136 3360 3920 4704 5880 6720 7840 9408 11760 15680 23520 47040