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12134560 = 255149509
BaseRepresentation
bin101110010010…
…100010100000
3211211111111011
4232102202200
511101301220
61112030304
7205066504
oct56224240
924744434
1012134560
116938969
124092394
13268b319
14187c304
1510ea65a
hexb928a0

12134560 has 48 divisors (see below), whose sum is σ = 28917000. Its totient is φ = 4811776.

The previous prime is 12134543. The next prime is 12134569. The reversal of 12134560 is 6543121.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 2917264 = 3036^2 + 1708^2 .

It is not an unprimeable number, because it can be changed into a prime (12134569) 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, 23586 + ... + 24094.

Almost surely, 212134560 is an apocalyptic number.

12134560 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 12134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458500).

12134560 is an abundant number, since it is smaller than the sum of its proper divisors (16782440).

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

12134560 is a wasteful number, since it uses less digits than its factorization.

12134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 12134560 is about 3483.4695348173. The cubic root of 12134560 is about 229.7954072237.

Adding to 12134560 its reverse (6543121), we get a palindrome (18677681).

The spelling of 12134560 in words is "twelve million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 509 596 745 1018 1192 1490 2036 2384 2545 2980 4072 4768 5090 5960 8144 10180 11920 16288 20360 23840 40720 75841 81440 151682 303364 379205 606728 758410 1213456 1516820 2426912 3033640 6067280 12134560