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12014280 = 23325231451
BaseRepresentation
bin101101110101…
…001011001000
3211121101111100
4231311023020
511033424110
61105301400
7204056025
oct55651310
924541440
1012014280
116866563
124034860
132648655
14184a54c
1510c4bc0
hexb752c8

12014280 has 96 divisors (see below), whose sum is σ = 40772160. Its totient is φ = 3062400.

The previous prime is 12014269. The next prime is 12014287. The reversal of 12014280 is 8241021.

12014280 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is not an unprimeable number, because it can be changed into a prime (12014287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7555 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (424710).

Almost surely, 212014280 is an apocalyptic number.

12014280 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 12014280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386080).

12014280 is an abundant number, since it is smaller than the sum of its proper divisors (28757880).

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

12014280 is a wasteful number, since it uses less digits than its factorization.

12014280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12014280 is about 3466.1621427741. The cubic root of 12014280 is about 229.0336265082.

It can be divided in two parts, 120 and 14280, that added together give a square (14400 = 1202).

The spelling of 12014280 in words is "twelve million, fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1451 1656 2070 2760 2902 4140 4353 5804 7255 8280 8706 11608 13059 14510 17412 21765 26118 29020 33373 34824 43530 52236 58040 65295 66746 87060 100119 104472 130590 133492 166865 174120 200238 261180 266984 300357 333730 400476 500595 522360 600714 667460 800952 1001190 1201428 1334920 1501785 2002380 2402856 3003570 4004760 6007140 12014280