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12007872 = 26336949
BaseRepresentation
bin101101110011…
…100111000000
3211121001201000
4231303213000
511033222442
61105212000
7204031242
oct55634700
924531630
1012007872
116861768
124031000
132645766
141848092
1510c2d4c
hexb739c0

12007872 has 56 divisors (see below), whose sum is σ = 35306000. Its totient is φ = 4002048.

The previous prime is 12007871. The next prime is 12007883. The reversal of 12007872 is 27870021.

12007872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007871) 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, 1747 + ... + 5202.

Almost surely, 212007872 is an apocalyptic number.

12007872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12007872 is an abundant number, since it is smaller than the sum of its proper divisors (23298128).

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

12007872 is an equidigital number, since it uses as much as digits as its factorization.

12007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12007872 is about 3465.2376541877. The cubic root of 12007872 is about 228.9928997373.

Adding to 12007872 its reverse (27870021), we get a palindrome (39877893).

The spelling of 12007872 in words is "twelve million, seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 6949 13898 20847 27796 41694 55592 62541 83388 111184 125082 166776 187623 222368 250164 333552 375246 444736 500328 667104 750492 1000656 1334208 1500984 2001312 3001968 4002624 6003936 12007872