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13601064 = 23331101181
BaseRepresentation
bin110011111000…
…100100101000
3221121000011010
4303320210220
511440213224
61203303520
7223415151
oct63704450
927530133
1013601064
11774a754
12467aba0
132a82989
141b40928
1512d9e29
hexcf8928

13601064 has 64 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 4320000.

The previous prime is 13601059. The next prime is 13601099. The reversal of 13601064 is 46010631.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13601064.

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, 75054 + ... + 75234.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 213601064 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 13601064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

13601064 is an abundant number, since it is smaller than the sum of its proper divisors (22041816).

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

13601064 is a wasteful number, since it uses less digits than its factorization.

13601064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13601064 is about 3687.9620388502. The cubic root of 13601064 is about 238.7028630570.

Adding to 13601064 its reverse (46010631), we get a palindrome (59611695).

The spelling of 13601064 in words is "thirteen million, six hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 181 186 202 248 303 362 372 404 543 606 724 744 808 1086 1212 1448 2172 2424 3131 4344 5611 6262 9393 11222 12524 16833 18281 18786 22444 25048 33666 36562 37572 44888 54843 67332 73124 75144 109686 134664 146248 219372 438744 566711 1133422 1700133 2266844 3400266 4533688 6800532 13601064