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13488012 = 2233711759
BaseRepresentation
bin110011011100…
…111110001100
3221101021002000
4303130332030
511423104022
61201032300
7222434436
oct63347614
927337060
1013488012
11768281a
124625690
132a43395
141b11656
1512b66ac
hexcdcf8c

13488012 has 48 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 4430160.

The previous prime is 13488001. The next prime is 13488037. The reversal of 13488012 is 21088431.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6789 + ... + 8547.

It is an arithmetic number, because the mean of its divisors is an integer number (739200).

Almost surely, 213488012 is an apocalyptic number.

13488012 is a gapful number since it is divisible by the number (12) 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 13488012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

13488012 is an abundant number, since it is smaller than the sum of its proper divisors (21993588).

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

13488012 is a wasteful number, since it uses less digits than its factorization.

13488012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13488012 is about 3672.6028916832. The cubic root of 13488012 is about 238.0396563160.

The spelling of 13488012 in words is "thirteen million, four hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1759 1917 2556 3518 3834 5277 7036 7668 10554 15831 21108 31662 47493 63324 94986 124889 189972 249778 374667 499556 749334 1124001 1498668 2248002 3372003 4496004 6744006 13488012