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13016064 = 210319223
BaseRepresentation
bin110001101001…
…110000000000
3220111021200110
4301221300000
511313003224
61142551320
7215430465
oct61516000
926437613
1013016064
117390186
124438540
132909619
141a2b66c
151221929
hexc69c00

13016064 has 88 divisors (see below), whose sum is σ = 36682240. Its totient is φ = 4091904.

The previous prime is 13016053. The next prime is 13016071. The reversal of 13016064 is 46061031.

It is a self number, because there is not a number n which added to its sum of digits gives 13016064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58257 + ... + 58479.

Almost surely, 213016064 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 13016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341120).

13016064 is an abundant number, since it is smaller than the sum of its proper divisors (23666176).

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

13016064 is a wasteful number, since it uses less digits than its factorization.

13016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

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

The square root of 13016064 is about 3607.7782636964. The cubic root of 13016064 is about 235.2302797797.

Adding to 13016064 its reverse (46061031), we get a palindrome (59077095).

The spelling of 13016064 in words is "thirteen million, sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 223 228 256 304 384 446 456 512 608 669 768 892 912 1024 1216 1338 1536 1784 1824 2432 2676 3072 3568 3648 4237 4864 5352 7136 7296 8474 9728 10704 12711 14272 14592 16948 19456 21408 25422 28544 29184 33896 42816 50844 57088 58368 67792 85632 101688 114176 135584 171264 203376 228352 271168 342528 406752 542336 685056 813504 1084672 1627008 2169344 3254016 4338688 6508032 13016064