Search a number
-
+
30549636 = 2234137253
BaseRepresentation
bin111010010001…
…0011010000100
32010111002020000
41310202122010
530310042021
63010441300
7520444665
oct164423204
963432200
1030549636
1116276437
12a293230
136438210
1440b336c
152a36b26
hex1d22684

30549636 has 60 divisors (see below), whose sum is σ = 86017932. Its totient is φ = 9398592.

The previous prime is 30549613. The next prime is 30549641. The reversal of 30549636 is 63694503.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 17589636 = 3600^2 + 4194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30549636.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 586 + ... + 7838.

Almost surely, 230549636 is an apocalyptic number.

30549636 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 30549636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008966).

30549636 is an abundant number, since it is smaller than the sum of its proper divisors (55468296).

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

30549636 is a wasteful number, since it uses less digits than its factorization.

30549636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 30549636 is about 5527.1725140437. The cubic root of 30549636 is about 312.6093859200.

The spelling of 30549636 in words is "thirty million, five hundred forty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 7253 14506 21759 29012 43518 65277 87036 94289 130554 188578 195831 261108 282867 377156 391662 565734 587493 783324 848601 1131468 1174986 1697202 2349972 2545803 3394404 5091606 7637409 10183212 15274818 30549636