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60480 = 263357
BaseRepresentation
bin1110110001000000
310001222000
432301000
53413410
61144000
7341220
oct166100
9101860
1060480
1141492
122b000
13216b4
1418080
1512dc0
hexec40

60480 has 112 divisors (see below), whose sum is σ = 243840. Its totient is φ = 13824.

The previous prime is 60457. The next prime is 60493. The reversal of 60480 is 8406.

Adding to 60480 its reverse (8406), we get a palindrome (68886).

It is a Jordan-Polya number, since it can be written as 7! ⋅ 3! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is an unprimeable number.

60480 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, 8637 + ... + 8643.

260480 is an apocalyptic number.

60480 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 60480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

60480 is an abundant number, since it is smaller than the sum of its proper divisors (183360).

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

60480 is a wasteful number, since it uses less digits than its factorization.

60480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 60480 is about 245.9268183830. The cubic root of 60480 is about 39.2527957223.

The spelling of 60480 in words is "sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 420 432 448 480 504 540 560 576 630 672 720 756 840 864 945 960 1008 1080 1120 1260 1344 1440 1512 1680 1728 1890 2016 2160 2240 2520 2880 3024 3360 3780 4032 4320 5040 6048 6720 7560 8640 10080 12096 15120 20160 30240 60480