Search a number
-
+
30561024 = 283133061
BaseRepresentation
bin111010010010…
…1001100000000
32010111122211210
41310211030000
530310423044
63011010120
7520523124
oct164451400
963448753
1030561024
1116283a4a
12a299940
136440460
1440b7584
152a3a1b9
hex1d25300

30561024 has 72 divisors (see below), whose sum is σ = 87622192. Its totient is φ = 9400320.

The previous prime is 30561023. The next prime is 30561049. The reversal of 30561024 is 42016503.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30561023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8454 + ... + 11514.

Almost surely, 230561024 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 30561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43811096).

30561024 is an abundant number, since it is smaller than the sum of its proper divisors (57061168).

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

30561024 is a wasteful number, since it uses less digits than its factorization.

30561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30561024 is about 5528.2026012077. The cubic root of 30561024 is about 312.6482249362.

Adding to 30561024 its reverse (42016503), we get a palindrome (72577527).

The spelling of 30561024 in words is "thirty million, five hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3061 3328 4992 6122 9183 9984 12244 18366 24488 36732 39793 48976 73464 79586 97952 119379 146928 159172 195904 238758 293856 318344 391808 477516 587712 636688 783616 955032 1175424 1273376 1910064 2350848 2546752 3820128 5093504 7640256 10187008 15280512 30561024