Search a number
-
+
30190590 = 2335313607
BaseRepresentation
bin111001100101…
…0101111111110
32002210211201000
41303022233332
530212044330
62555031130
7514421133
oct163125776
962724630
1030190590
1116050701
12a13b4a6
136340971
14401c58a
1529b5560
hex1ccabfe

30190590 has 64 divisors (see below), whose sum is σ = 83128320. Its totient is φ = 7788960.

The previous prime is 30190583. The next prime is 30190597. The reversal of 30190590 is 9509103.

It is an interprime number because it is at equal distance from previous prime (30190583) and next prime (30190597).

It is a super-2 number, since 2×301905902 = 1822943449096200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30190597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6567 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (1298880).

Almost surely, 230190590 is an apocalyptic number.

30190590 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 30190590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41564160).

30190590 is an abundant number, since it is smaller than the sum of its proper divisors (52937730).

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

30190590 is a wasteful number, since it uses less digits than its factorization.

30190590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 30190590 is about 5494.5964365001. The cubic root of 30190590 is about 311.3798703209.

Adding to 30190590 its reverse (9509103), we get a palindrome (39699693).

The spelling of 30190590 in words is "thirty million, one hundred ninety thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 3607 4185 7214 8370 10821 18035 21642 32463 36070 54105 64926 97389 108210 111817 162315 194778 223634 324630 335451 486945 559085 670902 973890 1006353 1118170 1677255 2012706 3019059 3354510 5031765 6038118 10063530 15095295 30190590