Search a number
-
+
13645104 = 2431143601
BaseRepresentation
bin110100000011…
…010100110000
3221200020120020
4310003110300
511443120404
61204243440
7223660434
oct64032460
927606506
1013645104
11777a850
1246a0580
132a99a35
141b529c4
1512e7ed9
hexd03530

13645104 has 80 divisors (see below), whose sum is σ = 39414144. Its totient is φ = 4032000.

The previous prime is 13645057. The next prime is 13645127. The reversal of 13645104 is 40154631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22404 + ... + 23004.

Almost surely, 213645104 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 13645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707072).

13645104 is an abundant number, since it is smaller than the sum of its proper divisors (25769040).

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

13645104 is a wasteful number, since it uses less digits than its factorization.

13645104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13645104 is about 3693.9279906354. The cubic root of 13645104 is about 238.9602240021.

Adding to 13645104 its reverse (40154631), we get a palindrome (53799735).

The spelling of 13645104 in words is "thirteen million, six hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 601 688 946 1032 1202 1419 1803 1892 2064 2404 2838 3606 3784 4808 5676 6611 7212 7568 9616 11352 13222 14424 19833 22704 25843 26444 28848 39666 51686 52888 77529 79332 103372 105776 155058 158664 206744 284273 310116 317328 413488 568546 620232 852819 1137092 1240464 1705638 2274184 3411276 4548368 6822552 13645104