[go: up one dir, main page]

Search a number
-
+
30118144 = 2876
BaseRepresentation
bin111001011100…
…1000100000000
32002200011022211
41302321010000
530202240034
62553311504
7514000000
oct162710400
962604284
1030118144
1116001231
12a105594
1363169b4
144000000
15299dd64
hex1cb9100

30118144 has 63 divisors (see below), whose sum is σ = 70138327. Its totient is φ = 12907776.

The previous prime is 30118093. The next prime is 30118147. The reversal of 30118144 is 44181103.

The square root of 30118144 is 5488.

It is a perfect power (a square), and thus also a powerful number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (30118147) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 4302589 + ... + 4302595.

Almost surely, 230118144 is an apocalyptic number.

30118144 is the 5488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30118144

30118144 is an abundant number, since it is smaller than the sum of its proper divisors (40020183).

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

30118144 is an frugal number, since it uses more digits than its factorization.

30118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 30118144 is about 311.1306061858.

Adding to 30118144 its reverse (44181103), we get a palindrome (74299247).

The spelling of 30118144 in words is "thirty million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2401 2744 3136 4802 5488 6272 9604 10976 12544 16807 19208 21952 33614 38416 43904 67228 76832 87808 117649 134456 153664 235298 268912 307328 470596 537824 614656 941192 1075648 1882384 2151296 3764768 4302592 7529536 15059072 30118144