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12083960 = 2357103419
BaseRepresentation
bin101110000110…
…001011111000
3211201221002002
4232012023320
511043141320
61111000132
7204466130
oct56061370
924657062
1012083960
116903949
124069048
132671295
141867ac0
1510da675
hexb862f8

12083960 has 64 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 4093056.

The previous prime is 12083959. The next prime is 12083977. The reversal of 12083960 is 6938021.

12083960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28631 + ... + 29049.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 212083960 is an apocalyptic number.

12083960 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 12083960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12083960 is an abundant number, since it is smaller than the sum of its proper divisors (19365640).

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

12083960 is a wasteful number, since it uses less digits than its factorization.

12083960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 12083960 is about 3476.1990737010. The cubic root of 12083960 is about 229.4755536478.

The spelling of 12083960 in words is "twelve million, eighty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 419 515 721 824 838 1030 1442 1676 2060 2095 2884 2933 3352 3605 4120 4190 5768 5866 7210 8380 11732 14420 14665 16760 23464 28840 29330 43157 58660 86314 117320 172628 215785 302099 345256 431570 604198 863140 1208396 1510495 1726280 2416792 3020990 6041980 12083960