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66060288 = 220327
BaseRepresentation
bin1111110000000…
…0000000000000
311121022012200100
43330000000000
5113402412123
610315522400
71431334410
oct374000000
9147265610
1066060288
1134320088
121a159400
13108bc538
148ab8640
155bed643
hex3f00000

66060288 has 126 divisors (see below), whose sum is σ = 218103704. Its totient is φ = 18874368.

The previous prime is 66060277. The next prime is 66060311. The reversal of 66060288 is 88206066.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9437181 + ... + 9437187.

Almost surely, 266060288 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 66060288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109051852).

66060288 is an abundant number, since it is smaller than the sum of its proper divisors (152043416).

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

66060288 is an frugal number, since it uses more digits than its factorization.

66060288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 66060288 is about 8127.7480275904. The cubic root of 66060288 is about 404.2470142500.

The spelling of 66060288 in words is "sixty-six million, sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 8192 9216 10752 12288 14336 16128 16384 18432 21504 24576 28672 32256 32768 36864 43008 49152 57344 64512 65536 73728 86016 98304 114688 129024 131072 147456 172032 196608 229376 258048 262144 294912 344064 393216 458752 516096 524288 589824 688128 786432 917504 1032192 1048576 1179648 1376256 1572864 1835008 2064384 2359296 2752512 3145728 3670016 4128768 4718592 5505024 7340032 8257536 9437184 11010048 16515072 22020096 33030144 66060288