Search a number
-
+
12047360 = 210513181
BaseRepresentation
bin101101111101…
…010000000000
3211200001212112
4231331100000
511041003420
61110114452
7204254333
oct55752000
924601775
1012047360
1168893a6
12404ba28
13265a720
14185861a
1510ce8c5
hexb7d400

12047360 has 88 divisors (see below), whose sum is σ = 31294536. Its totient is φ = 4423680.

The previous prime is 12047341. The next prime is 12047363. The reversal of 12047360 is 6374021.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 11505664 = 736^2 + 3392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12047363) 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, 66470 + ... + 66650.

Almost surely, 212047360 is an apocalyptic number.

12047360 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 12047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647268).

12047360 is an abundant number, since it is smaller than the sum of its proper divisors (19247176).

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

12047360 is a wasteful number, since it uses less digits than its factorization.

12047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 12047360 is about 3470.9307109189. The cubic root of 12047360 is about 229.2436401851.

The spelling of 12047360 in words is "twelve million, forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 181 208 256 260 320 362 416 512 520 640 724 832 905 1024 1040 1280 1448 1664 1810 2080 2353 2560 2896 3328 3620 4160 4706 5120 5792 6656 7240 8320 9412 11584 11765 13312 14480 16640 18824 23168 23530 28960 33280 37648 46336 47060 57920 66560 75296 92672 94120 115840 150592 185344 188240 231680 301184 376480 463360 602368 752960 926720 1204736 1505920 2409472 3011840 6023680 12047360