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3087072 = 2535397
BaseRepresentation
bin1011110001101011100000
312210211200000
423301223200
51242241242
6150100000
735145132
oct13615340
95724600
103087072
1118193aa
12104a600
13841191
145a5052
1540ea4c
hex2f1ae0

3087072 has 72 divisors (see below), whose sum is σ = 9126936. Its totient is φ = 1026432.

The previous prime is 3087061. The next prime is 3087089. The reversal of 3087072 is 2707803.

3087072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7578 + ... + 7974.

It is an arithmetic number, because the mean of its divisors is an integer number (126763).

Almost surely, 23087072 is an apocalyptic number.

3087072 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 3087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563468).

3087072 is an abundant number, since it is smaller than the sum of its proper divisors (6039864).

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

3087072 is an equidigital number, since it uses as much as digits as its factorization.

3087072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

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

The square root of 3087072 is about 1757.0065452354. The cubic root of 3087072 is about 145.6069996232.

The spelling of 3087072 in words is "three million, eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 397 432 486 648 794 864 972 1191 1296 1588 1944 2382 2592 3176 3573 3888 4764 6352 7146 7776 9528 10719 12704 14292 19056 21438 28584 32157 38112 42876 57168 64314 85752 96471 114336 128628 171504 192942 257256 343008 385884 514512 771768 1029024 1543536 3087072