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12053760 = 28354373
BaseRepresentation
bin101101111110…
…110100000000
3211200101122120
4231332310000
511041210020
61110204240
7204312105
oct55766400
924611576
1012053760
116893194
124053680
132660604
14185aaac
1510d1740
hexb7ed00

12053760 has 144 divisors (see below), whose sum is σ = 39931584. Its totient is φ = 3096576.

The previous prime is 12053753. The next prime is 12053779. The reversal of 12053760 is 6735021.

12053760 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12053760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165084 + ... + 165156.

Almost surely, 212053760 is an apocalyptic number.

12053760 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 12053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965792).

12053760 is an abundant number, since it is smaller than the sum of its proper divisors (27877824).

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

12053760 is an equidigital number, since it uses as much as digits as its factorization.

12053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 12053760 is about 3471.8525314304. The cubic root of 12053760 is about 229.2842272120.

Adding to 12053760 its reverse (6735021), we get a palindrome (18788781).

The spelling of 12053760 in words is "twelve million, fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 73 80 86 96 120 128 129 146 160 172 192 215 219 240 256 258 292 320 344 365 384 430 438 480 516 584 640 645 688 730 768 860 876 960 1032 1095 1168 1280 1290 1376 1460 1720 1752 1920 2064 2190 2336 2580 2752 2920 3139 3440 3504 3840 4128 4380 4672 5160 5504 5840 6278 6880 7008 8256 8760 9344 9417 10320 11008 11680 12556 13760 14016 15695 16512 17520 18688 18834 20640 23360 25112 27520 28032 31390 33024 35040 37668 41280 46720 47085 50224 55040 56064 62780 70080 75336 82560 93440 94170 100448 125560 140160 150672 165120 188340 200896 251120 280320 301344 376680 401792 502240 602688 753360 803584 1004480 1205376 1506720 2008960 2410752 3013440 4017920 6026880 12053760