Search a number
-
+
30668610 = 2357231673
BaseRepresentation
bin111010011111…
…1011101000010
32010201010102110
41310333131002
530322343420
63013200150
7521451600
oct164773502
963633373
1030668610
1116347865
12a330056
13647a40b
144104870
152a5bee0
hex1d3f742

30668610 has 96 divisors (see below), whose sum is σ = 88515072. Its totient is φ = 6773760.

The previous prime is 30668593. The next prime is 30668611. The reversal of 30668610 is 1686603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30668611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45234 + ... + 45906.

It is an arithmetic number, because the mean of its divisors is an integer number (922032).

Almost surely, 230668610 is an apocalyptic number.

30668610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30668610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44257536).

30668610 is an abundant number, since it is smaller than the sum of its proper divisors (57846462).

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

30668610 is a wasteful number, since it uses less digits than its factorization.

30668610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30668610 is about 5537.9247015466. The cubic root of 30668610 is about 313.0146740221.

The spelling of 30668610 in words is "thirty million, six hundred sixty-eight thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 673 735 930 1085 1302 1346 1470 1519 2019 2170 3038 3255 3365 4038 4557 4711 6510 6730 7595 9114 9422 10095 14133 15190 20190 20863 22785 23555 28266 32977 41726 45570 47110 62589 65954 70665 98931 104315 125178 141330 146041 164885 197862 208630 292082 312945 329770 438123 494655 625890 730205 876246 989310 1022287 1460410 2044574 2190615 3066861 4381230 5111435 6133722 10222870 15334305 30668610