Search a number
-
+
30561264 = 2432832557
BaseRepresentation
bin111010010010…
…1001111110000
32010111200011200
41310211033300
530310430024
63011011200
7520523616
oct164451760
963450150
1030561264
1116284148
12a299b00
1364405b6
1440b76b6
152a3a2c9
hex1d253f0

30561264 has 60 divisors (see below), whose sum is σ = 86593416. Its totient is φ = 10060416.

The previous prime is 30561263. The next prime is 30561269. The reversal of 30561264 is 46216503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30561263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10674 + ... + 13230.

Almost surely, 230561264 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 30561264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43296708).

30561264 is an abundant number, since it is smaller than the sum of its proper divisors (56032152).

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

30561264 is a wasteful number, since it uses less digits than its factorization.

30561264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30561264 is about 5528.2243080396. The cubic root of 30561264 is about 312.6490433575.

Adding to 30561264 its reverse (46216503), we get a palindrome (76777767).

The spelling of 30561264 in words is "thirty million, five hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2557 2988 3984 5114 5976 7671 10228 11952 15342 20456 23013 30684 40912 46026 61368 92052 122736 184104 212231 368208 424462 636693 848924 1273386 1697848 1910079 2546772 3395696 3820158 5093544 7640316 10187088 15280632 30561264