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61740 = 2232573
BaseRepresentation
bin1111000100101100
310010200200
433010230
53433430
61153500
7345000
oct170454
9103620
1061740
1142428
122b890
1322143
1418700
1513460
hexf12c

61740 has 72 divisors (see below), whose sum is σ = 218400. Its totient is φ = 14112.

The previous prime is 61729. The next prime is 61751. The reversal of 61740 is 4716.

61740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61729) and next prime (61751).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61740.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8817 + ... + 8823.

261740 is an apocalyptic number.

61740 is a gapful number since it is divisible by the number (60) 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 61740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109200).

61740 is an abundant number, since it is smaller than the sum of its proper divisors (156660).

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

61740 is a wasteful number, since it uses less digits than its factorization.

61740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

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

The square root of 61740 is about 248.4753508902. The cubic root of 61740 is about 39.5235132130.

It can be divided in two parts, 6 and 1740, that multiplied together give a triangular number (10440 = T144).

The spelling of 61740 in words is "sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740