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61560 = 2334519
BaseRepresentation
bin1111000001111000
310010110000
433001320
53432220
61153000
7344322
oct170170
9103400
1061560
1142284
122b760
1322035
1418612
1513390
hexf078

61560 has 80 divisors (see below), whose sum is σ = 217800. Its totient is φ = 15552.

The previous prime is 61559. The next prime is 61561. The reversal of 61560 is 6516.

61560 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 (61559) and next prime (61561).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3231 + ... + 3249.

261560 is an apocalyptic number.

61560 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 61560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108900).

61560 is an abundant number, since it is smaller than the sum of its proper divisors (156240).

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

61560 is a wasteful number, since it uses less digits than its factorization.

61560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61560 is about 248.1128775376. The cubic root of 61560 is about 39.4850661914.

The spelling of 61560 in words is "sixty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3420 4104 5130 6156 6840 7695 10260 12312 15390 20520 30780 61560