Search a number
-
+
30154300 = 22521179347
BaseRepresentation
bin111001100000…
…1111000111100
32002201222220221
41303001320330
530204414200
62554151124
7514210261
oct163017074
962658827
1030154300
1116026410
12a1224a4
13632a2a7
14400d268
1529a991a
hex1cc1e3c

30154300 has 72 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 10795200.

The previous prime is 30154291. The next prime is 30154301. The reversal of 30154300 is 345103.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30154301) 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 23 ways as a sum of consecutive naturals, for example, 86727 + ... + 87073.

It is an arithmetic number, because the mean of its divisors is an integer number (1006880).

Almost surely, 230154300 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 30154300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

30154300 is an abundant number, since it is smaller than the sum of its proper divisors (42341060).

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

30154300 is a wasteful number, since it uses less digits than its factorization.

30154300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 30154300 is about 5491.2931081850. The cubic root of 30154300 is about 311.2550576319.

Adding to 30154300 its reverse (345103), we get a palindrome (30499403).

The spelling of 30154300 in words is "thirty million, one hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 347 395 550 694 790 869 1100 1388 1580 1735 1738 1975 3470 3476 3817 3950 4345 6940 7634 7900 8675 8690 15268 17350 17380 19085 21725 27413 34700 38170 43450 54826 76340 86900 95425 109652 137065 190850 274130 301543 381700 548260 603086 685325 1206172 1370650 1507715 2741300 3015430 6030860 7538575 15077150 30154300