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12079520 = 255174441
BaseRepresentation
bin101110000101…
…000110100000
3211201200222122
4232011012200
511043021040
61110523412
7204450155
oct56050640
924650878
1012079520
116900582
124066568
13266c25b
14186622c
1510d91b5
hexb851a0

12079520 has 48 divisors (see below), whose sum is σ = 30223368. Its totient is φ = 4546560.

The previous prime is 12079513. The next prime is 12079523. The reversal of 12079520 is 2597021.

It can be written as a sum of positive squares in 4 ways, for example, as 10471696 + 1607824 = 3236^2 + 1268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12079520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12079523) 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, 500 + ... + 4940.

Almost surely, 212079520 is an apocalyptic number.

12079520 is a gapful number since it is divisible by the number (10) 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 12079520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111684).

12079520 is an abundant number, since it is smaller than the sum of its proper divisors (18143848).

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

12079520 is a wasteful number, since it uses less digits than its factorization.

12079520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 12079520 is about 3475.5603864701. The cubic root of 12079520 is about 229.4474448636.

The spelling of 12079520 in words is "twelve million, seventy-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4441 8882 17764 22205 35528 44410 71056 75497 88820 142112 150994 177640 301988 355280 377485 603976 710560 754970 1207952 1509940 2415904 3019880 6039760 12079520