Search a number
-
+
12815208 = 2332747541
BaseRepresentation
bin110000111000…
…101101101000
3220010002011100
4300320231220
511240041313
61134401400
7213633060
oct60705550
926102140
1012815208
11726328a
124360260
132869083
1419b83a0
1511d2173
hexc38b68

12815208 has 96 divisors (see below), whose sum is σ = 40584960. Its totient is φ = 3576960.

The previous prime is 12815207. The next prime is 12815221. The reversal of 12815208 is 80251821.

It is not an unprimeable number, because it can be changed into a prime (12815207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23418 + ... + 23958.

It is an arithmetic number, because the mean of its divisors is an integer number (422760).

Almost surely, 212815208 is an apocalyptic number.

12815208 is a gapful number since it is divisible by the number (18) 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 12815208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20292480).

12815208 is an abundant number, since it is smaller than the sum of its proper divisors (27769752).

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

12815208 is a wasteful number, since it uses less digits than its factorization.

12815208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12815208 is about 3579.8335156820. The cubic root of 12815208 is about 234.0140250196.

The spelling of 12815208 in words is "twelve million, eight hundred fifteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 541 564 658 846 987 1082 1128 1316 1623 1692 1974 2164 2632 2961 3246 3384 3787 3948 4328 4869 5922 6492 7574 7896 9738 11361 11844 12984 15148 19476 22722 23688 25427 30296 34083 38952 45444 50854 68166 76281 90888 101708 136332 152562 177989 203416 228843 272664 305124 355978 457686 533967 610248 711956 915372 1067934 1423912 1601901 1830744 2135868 3203802 4271736 6407604 12815208