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46740 = 22351941
BaseRepresentation
bin1011011010010100
32101010010
423122110
52443430
61000220
7253161
oct133224
971103
1046740
1132131
1223070
1318375
1413068
15dcb0
hexb694

46740 has 48 divisors (see below), whose sum is σ = 141120. Its totient is φ = 11520.

The previous prime is 46727. The next prime is 46747. The reversal of 46740 is 4764.

46740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46747) by changing a digit.

46740 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 15 ways as a sum of consecutive naturals, for example, 1120 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

246740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

46740 is an abundant number, since it is smaller than the sum of its proper divisors (94380).

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

46740 is a wasteful number, since it uses less digits than its factorization.

46740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 46740 is about 216.1943570031. The cubic root of 46740 is about 36.0215919853.

The spelling of 46740 in words is "forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 11685 15580 23370 46740