Search a number
-
+
30547968 = 213311113
BaseRepresentation
bin111010010001…
…0000000000000
32010110222221020
41310202000000
530310013333
63010425440
7520440063
oct164420000
963428836
1030547968
1116275160
12a292280
136437529
1440b28da
152a363b3
hex1d22000

30547968 has 112 divisors (see below), whose sum is σ = 89647776. Its totient is φ = 9175040.

The previous prime is 30547949. The next prime is 30547969. The reversal of 30547968 is 86974503.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30547969) 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, 270280 + ... + 270392.

Almost surely, 230547968 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 30547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44823888).

30547968 is an abundant number, since it is smaller than the sum of its proper divisors (59099808).

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

30547968 is a wasteful number, since it uses less digits than its factorization.

30547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 30547968 is about 5527.0216210903. The cubic root of 30547968 is about 312.6036963601.

The spelling of 30547968 in words is "thirty million, five hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 256 264 339 352 384 452 512 528 678 704 768 904 1024 1056 1243 1356 1408 1536 1808 2048 2112 2486 2712 2816 3072 3616 3729 4096 4224 4972 5424 5632 6144 7232 7458 8192 8448 9944 10848 11264 12288 14464 14916 16896 19888 21696 22528 24576 28928 29832 33792 39776 43392 45056 57856 59664 67584 79552 86784 90112 115712 119328 135168 159104 173568 231424 238656 270336 318208 347136 462848 477312 636416 694272 925696 954624 1272832 1388544 1909248 2545664 2777088 3818496 5091328 7636992 10182656 15273984 30547968