Search a number
-
+
14165536 = 257115749
BaseRepresentation
bin110110000010…
…011000100000
3222122200110111
4312002120200
512111244121
61223341104
7231255640
oct66023040
928580414
1014165536
117aa5860
1248b1794
132c1c898
141c4a520
15139c2e1
hexd82620

14165536 has 48 divisors (see below), whose sum is σ = 34776000. Its totient is φ = 5518080.

The previous prime is 14165521. The next prime is 14165617. The reversal of 14165536 is 63556141.

It is a junction number, because it is equal to n+sod(n) for n = 14165498 and 14165507.

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, 411 + ... + 5338.

It is an arithmetic number, because the mean of its divisors is an integer number (724500).

Almost surely, 214165536 is an apocalyptic number.

14165536 is a gapful number since it is divisible by the number (16) 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 14165536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388000).

14165536 is an abundant number, since it is smaller than the sum of its proper divisors (20610464).

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

14165536 is a wasteful number, since it uses less digits than its factorization.

14165536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5769 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 14165536 is about 3763.7130602638. The cubic root of 14165536 is about 241.9604242821.

The spelling of 14165536 in words is "fourteen million, one hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5749 11498 22996 40243 45992 63239 80486 91984 126478 160972 183968 252956 321944 442673 505912 643888 885346 1011824 1287776 1770692 2023648 3541384 7082768 14165536