Search a number
-
+
30189480 = 23351913241
BaseRepresentation
bin111001100101…
…0011110101000
32002210210011220
41303022132220
530212030410
62555022040
7514414656
oct163123650
962723156
1030189480
111604a892
12a13a920
1363402c9
14401bdd6
1529b5070
hex1cca7a8

30189480 has 64 divisors (see below), whose sum is σ = 95342400. Its totient is φ = 7626240.

The previous prime is 30189469. The next prime is 30189487. The reversal of 30189480 is 8498103.

It is a super-2 number, since 2×301894802 = 1822809405340800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30189487) 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 15 ways as a sum of consecutive naturals, for example, 4341 + ... + 8900.

It is an arithmetic number, because the mean of its divisors is an integer number (1489725).

Almost surely, 230189480 is an apocalyptic number.

30189480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30189480 is an abundant number, since it is smaller than the sum of its proper divisors (65152920).

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

30189480 is a wasteful number, since it uses less digits than its factorization.

30189480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30189480 is about 5494.4954272435. The cubic root of 30189480 is about 311.3760541661.

The spelling of 30189480 in words is "thirty million, one hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 13241 26482 39723 52964 66205 79446 105928 132410 158892 198615 251579 264820 317784 397230 503158 529640 754737 794460 1006316 1257895 1509474 1588920 2012632 2515790 3018948 3773685 5031580 6037896 7547370 10063160 15094740 30189480