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66240 = 2632523
BaseRepresentation
bin10000001011000000
310100212100
4100023000
54104430
61230400
7364056
oct201300
9110770
1066240
1145849
1232400
13241c5
141a1d6
1514960
hex102c0

66240 has 84 divisors (see below), whose sum is σ = 237744. Its totient is φ = 16896.

The previous prime is 66239. The next prime is 66271. The reversal of 66240 is 4266.

66240 = T29 + T30 + ... + T74.

66240 is a `hidden beast` number, since 662 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2869 + ... + 2891.

266240 is an apocalyptic number.

66240 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 66240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

66240 is an abundant number, since it is smaller than the sum of its proper divisors (171504).

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

66240 is a wasteful number, since it uses less digits than its factorization.

66240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66240 is about 257.3713270743. The cubic root of 66240 is about 40.4613256780.

The spelling of 66240 in words is "sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 64 69 72 80 90 92 96 115 120 138 144 160 180 184 192 207 230 240 276 288 320 345 360 368 414 460 480 552 576 690 720 736 828 920 960 1035 1104 1380 1440 1472 1656 1840 2070 2208 2760 2880 3312 3680 4140 4416 5520 6624 7360 8280 11040 13248 16560 22080 33120 66240