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12815064 = 233379751
BaseRepresentation
bin110000111000…
…101011011000
3220010001222000
4300320223120
511240040224
61134401000
7213632463
oct60705330
926101860
1012815064
117263169
124360160
132868ca2
1419b82da
1511d20c9
hexc38ad8

12815064 has 64 divisors (see below), whose sum is σ = 36096000. Its totient is φ = 4212000.

The previous prime is 12815053. The next prime is 12815081. The reversal of 12815064 is 46051821.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16689 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (564000).

Almost surely, 212815064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12815064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048000).

12815064 is an abundant number, since it is smaller than the sum of its proper divisors (23280936).

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

12815064 is a wasteful number, since it uses less digits than its factorization.

12815064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12815064 is about 3579.8134029583. The cubic root of 12815064 is about 234.0131485051.

Adding to 12815064 its reverse (46051821), we get a palindrome (58866885).

The spelling of 12815064 in words is "twelve million, eight hundred fifteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 751 948 1422 1502 1896 2133 2253 2844 3004 4266 4506 5688 6008 6759 8532 9012 13518 17064 18024 20277 27036 40554 54072 59329 81108 118658 162216 177987 237316 355974 474632 533961 711948 1067922 1423896 1601883 2135844 3203766 4271688 6407532 12815064