Search a number
-
+
363636 = 223371337
BaseRepresentation
bin1011000110001110100
3200110211000
41120301310
543114021
611443300
73043110
oct1306164
9613730
10363636
11229229
12156530
13c9690
1496740
1572b26
hex58c74

363636 has 96 divisors (see below), whose sum is σ = 1191680. Its totient is φ = 93312.

The previous prime is 363619. The next prime is 363659. The reversal of 363636 is 636363.

It is a super-2 number, since 2×3636362 = 264462280992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

363636 is an undulating number in base 10.

363636 is a modest number, since divided by 3636 gives 36 as remainder.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

363636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9810 + ... + 9846.

2363636 is an apocalyptic number.

363636 is a gapful number since it is divisible by the number (36) 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 363636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595840).

363636 is an abundant number, since it is smaller than the sum of its proper divisors (828044).

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

363636 is a wasteful number, since it uses less digits than its factorization.

363636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 363636 is about 603.0223876441. The cubic root of 363636 is about 71.3765617582.

Subtracting from 363636 its sum of digits (27), we obtain a square (363609 = 6032).

Adding to 363636 its reverse (636363), we get a palindrome (999999).

It can be divided in two parts, 363 and 636, that added together give a palindrome (999).

The spelling of 363636 in words is "three hundred sixty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 37 39 42 52 54 63 74 78 84 91 108 111 117 126 148 156 182 189 222 234 252 259 273 333 351 364 378 444 468 481 518 546 666 702 756 777 819 962 999 1036 1092 1332 1404 1443 1554 1638 1924 1998 2331 2457 2886 3108 3276 3367 3996 4329 4662 4914 5772 6734 6993 8658 9324 9828 10101 12987 13468 13986 17316 20202 25974 27972 30303 40404 51948 60606 90909 121212 181818 363636