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12079104 = 2123983
BaseRepresentation
bin101110000101…
…000000000000
3211201200102020
4232011000000
511043012404
61110521440
7204446022
oct56050000
924650366
1012079104
116900234
124066280
13266bccb
141866012
1510d8ed9
hexb85000

12079104 has 52 divisors (see below), whose sum is σ = 32239776. Its totient is φ = 4022272.

The previous prime is 12079103. The next prime is 12079121. The reversal of 12079104 is 40197021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12079103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11797 + ... + 12779.

Almost surely, 212079104 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 12079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119888).

12079104 is an abundant number, since it is smaller than the sum of its proper divisors (20160672).

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

12079104 is an frugal number, since it uses more digits than its factorization.

12079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12079104 is about 3475.5005394907. The cubic root of 12079104 is about 229.4448108949. Note that the first 3 decimals are identical.

The spelling of 12079104 in words is "twelve million, seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 983 1024 1536 1966 2048 2949 3072 3932 4096 5898 6144 7864 11796 12288 15728 23592 31456 47184 62912 94368 125824 188736 251648 377472 503296 754944 1006592 1509888 2013184 3019776 4026368 6039552 12079104