[go: up one dir, main page]

Search a number
-
+
13615020 = 22335191327
BaseRepresentation
bin110011111011…
…111110101100
3221121201022000
4303323332230
511441140040
61203452300
7223503636
oct63737654
927551260
1013615020
11775a191
124687090
132a89133
141b45a56
1512de130
hexcfbfac

13615020 has 96 divisors (see below), whose sum is σ = 44620800. Its totient is φ = 3436992.

The previous prime is 13615013. The next prime is 13615033. The reversal of 13615020 is 2051631.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13614984 and 13615002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9597 + ... + 10923.

It is an arithmetic number, because the mean of its divisors is an integer number (464800).

Almost surely, 213615020 is an apocalyptic number.

13615020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13615020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310400).

13615020 is an abundant number, since it is smaller than the sum of its proper divisors (31005780).

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

13615020 is a wasteful number, since it uses less digits than its factorization.

13615020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13615020 is about 3689.8536556346. The cubic root of 13615020 is about 238.7844791811.

Adding to 13615020 its reverse (2051631), we get a palindrome (15666651).

The spelling of 13615020 in words is "thirteen million, six hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1327 1710 2052 2565 2654 3420 3981 5130 5308 6635 7962 10260 11943 13270 15924 19905 23886 25213 26540 35829 39810 47772 50426 59715 71658 75639 79620 100852 119430 126065 143316 151278 179145 226917 238860 252130 302556 358290 378195 453834 504260 680751 716580 756390 907668 1134585 1361502 1512780 2269170 2723004 3403755 4538340 6807510 13615020