Search a number
-
+
30561280 = 210547127
BaseRepresentation
bin111010010010…
…1010000000000
32010111200012021
41310211100000
530310430110
63011011224
7520523641
oct164452000
963450167
1030561280
1116284162
12a299b14
1364405c9
1440b76c8
152a3a2da
hex1d25400

30561280 has 88 divisors (see below), whose sum is σ = 75460608. Its totient is φ = 11870208.

The previous prime is 30561269. The next prime is 30561281. The reversal of 30561280 is 8216503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30561281) 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, 240577 + ... + 240703.

Almost surely, 230561280 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 30561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730304).

30561280 is an abundant number, since it is smaller than the sum of its proper divisors (44899328).

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

30561280 is a wasteful number, since it uses less digits than its factorization.

30561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 30561280 is about 5528.2257551587. The cubic root of 30561280 is about 312.6490979187.

Adding to 30561280 its reverse (8216503), we get a palindrome (38777783).

The spelling of 30561280 in words is "thirty million, five hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 127 128 160 188 235 254 256 320 376 470 508 512 635 640 752 940 1016 1024 1270 1280 1504 1880 2032 2540 2560 3008 3760 4064 5080 5120 5969 6016 7520 8128 10160 11938 12032 15040 16256 20320 23876 24064 29845 30080 32512 40640 47752 48128 59690 60160 65024 81280 95504 119380 120320 130048 162560 191008 238760 240640 325120 382016 477520 650240 764032 955040 1528064 1910080 3056128 3820160 6112256 7640320 15280640 30561280