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13118208 = 283192931
BaseRepresentation
bin110010000010…
…101100000000
3220200110210120
4302002230000
511324240313
61145100240
7216334335
oct62025400
926613716
1013118208
11744a9a4
124487680
132943c6c
141a5698c
151241d23
hexc82b00

13118208 has 144 divisors (see below), whose sum is σ = 39244800. Its totient is φ = 3870720.

The previous prime is 13118207. The next prime is 13118213. The reversal of 13118208 is 80281131.

It is a super-2 number, since 2×131182082 = 344174762262528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13118207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423153 + ... + 423183.

Almost surely, 213118208 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 13118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622400).

13118208 is an abundant number, since it is smaller than the sum of its proper divisors (26126592).

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

13118208 is a wasteful number, since it uses less digits than its factorization.

13118208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 13118208 is about 3621.9066801893. The cubic root of 13118208 is about 235.8440030078.

Adding to 13118208 its reverse (80281131), we get a palindrome (93399339).

The spelling of 13118208 in words is "thirteen million, one hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 31 32 38 48 57 58 62 64 76 87 93 96 114 116 124 128 152 174 186 192 228 232 248 256 304 348 372 384 456 464 496 551 589 608 696 744 768 899 912 928 992 1102 1178 1216 1392 1488 1653 1767 1798 1824 1856 1984 2204 2356 2432 2697 2784 2976 3306 3534 3596 3648 3712 3968 4408 4712 4864 5394 5568 5952 6612 7068 7192 7296 7424 7936 8816 9424 10788 11136 11904 13224 14136 14384 14592 17081 17632 18848 21576 22272 23808 26448 28272 28768 34162 35264 37696 43152 51243 52896 56544 57536 68324 70528 75392 86304 102486 105792 113088 115072 136648 141056 150784 172608 204972 211584 226176 230144 273296 345216 409944 423168 452352 546592 690432 819888 1093184 1639776 2186368 3279552 4372736 6559104 13118208