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387072 = 211337
BaseRepresentation
bin1011110100000000000
3201122222000
41132200000
544341242
612144000
73201330
oct1364000
9648860
10387072
112448a4
12168000
1310724a
14a10c0
1579a4c
hex5e800

387072 has 96 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 110592.

The previous prime is 387071. The next prime is 387077. The reversal of 387072 is 270783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (387071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55293 + ... + 55299.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2387072 is an apocalyptic number.

387072 is a gapful number since it is divisible by the number (32) 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 387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

387072 is an abundant number, since it is smaller than the sum of its proper divisors (923328).

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

387072 is an equidigital number, since it uses as much as digits as its factorization.

387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 387072 is about 622.1511070472. The cubic root of 387072 is about 72.8781353250.

The spelling of 387072 in words is "three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1024 1152 1344 1512 1536 1728 1792 2016 2048 2304 2688 3024 3072 3456 3584 4032 4608 5376 6048 6144 6912 7168 8064 9216 10752 12096 13824 14336 16128 18432 21504 24192 27648 32256 43008 48384 55296 64512 96768 129024 193536 387072