Search a number
-
+
30105636 = 22311792887
BaseRepresentation
bin111001011011…
…0000000100100
32002122112011120
41302312000210
530201340021
62553133540
7513615351
oct162660044
962575146
1030105636
1115aa28a0
12a0ba2b0
1363110b2
143dd9628
15299a2c6
hex1cb6024

30105636 has 48 divisors (see below), whose sum is σ = 77629440. Its totient is φ = 9004320.

The previous prime is 30105631. The next prime is 30105637. The reversal of 30105636 is 63650103.

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

It is not an unprimeable number, because it can be changed into a prime (30105631) 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, 8985 + ... + 11871.

It is an arithmetic number, because the mean of its divisors is an integer number (1617280).

Almost surely, 230105636 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 30105636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38814720).

30105636 is an abundant number, since it is smaller than the sum of its proper divisors (47523804).

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

30105636 is a wasteful number, since it uses less digits than its factorization.

30105636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 30105636 is about 5486.8603044000. The cubic root of 30105636 is about 311.0875295996.

Adding to 30105636 its reverse (63650103), we get a palindrome (93755739).

It can be divided in two parts, 3010 and 5636, that added together give a triangular number (8646 = T131).

The spelling of 30105636 in words is "thirty million, one hundred five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 2887 3476 5214 5774 8661 10428 11548 17322 31757 34644 63514 95271 127028 190542 228073 381084 456146 684219 912292 1368438 2508803 2736876 5017606 7526409 10035212 15052818 30105636