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12015072 = 253241719
BaseRepresentation
bin101101110101…
…010111100000
3211121102120200
4231311113200
511033440242
61105305200
7204061236
oct55652740
924542520
1012015072
116867113
124035200
132648b14
14184a956
1510c504c
hexb755e0

12015072 has 36 divisors (see below), whose sum is σ = 34168680. Its totient is φ = 4004928.

The previous prime is 12015071. The next prime is 12015079. The reversal of 12015072 is 27051021.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20572 + ... + 21147.

It is an arithmetic number, because the mean of its divisors is an integer number (949130).

Almost surely, 212015072 is an apocalyptic number.

12015072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12015072 is an abundant number, since it is smaller than the sum of its proper divisors (22153608).

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

12015072 is a wasteful number, since it uses less digits than its factorization.

12015072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735 (or 41724 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12015072 is about 3466.2763882876. The cubic root of 12015072 is about 229.0386591484.

Adding to 12015072 its reverse (27051021), we get a palindrome (39066093).

The spelling of 12015072 in words is "twelve million, fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41719 83438 125157 166876 250314 333752 375471 500628 667504 750942 1001256 1335008 1501884 2002512 3003768 4005024 6007536 12015072