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13018368 = 283112367
BaseRepresentation
bin110001101010…
…010100000000
3220111101211210
4301222110000
511313041433
61143010120
7215440266
oct61522400
926441753
1013018368
117391990
124439940
13290a69c
141a2c436
151222463
hexc6a500

13018368 has 144 divisors (see below), whose sum is σ = 40029696. Its totient is φ = 3717120.

The previous prime is 13018367. The next prime is 13018373. The reversal of 13018368 is 86381031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13018367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194271 + ... + 194337.

It is an arithmetic number, because the mean of its divisors is an integer number (277984).

Almost surely, 213018368 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 13018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014848).

13018368 is an abundant number, since it is smaller than the sum of its proper divisors (27011328).

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

13018368 is a wasteful number, since it uses less digits than its factorization.

13018368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13018368 is about 3608.0975596566. The cubic root of 13018368 is about 235.2441584911.

Adding to 13018368 its reverse (86381031), we get a palindrome (99399399).

It can be divided in two parts, 1301 and 8368, that added together give a palindrome (9669).

The spelling of 13018368 in words is "thirteen million, eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 67 69 88 92 96 128 132 134 138 176 184 192 201 253 256 264 268 276 352 368 384 402 506 528 536 552 704 736 737 759 768 804 1012 1056 1072 1104 1408 1472 1474 1518 1541 1608 2024 2112 2144 2208 2211 2816 2944 2948 3036 3082 3216 4048 4224 4288 4416 4422 4623 5888 5896 6072 6164 6432 8096 8448 8576 8832 8844 9246 11792 12144 12328 12864 16192 16951 17152 17664 17688 18492 23584 24288 24656 25728 32384 33902 35376 36984 47168 48576 49312 50853 51456 64768 67804 70752 73968 94336 97152 98624 101706 135608 141504 147936 188672 194304 197248 203412 271216 283008 295872 394496 406824 542432 566016 591744 813648 1084864 1183488 1627296 2169728 3254592 4339456 6509184 13018368