[go: up one dir, main page]

Search a number
-
+
30025710 = 232511132333
BaseRepresentation
bin111001010001…
…0011111101110
32002111110112100
41302202133232
530141310320
62551315530
7513133341
oct162423756
962443470
1030025710
1115a48840
12a07bba6
1362b38c0
143db8458
152981790
hex1ca27ee

30025710 has 96 divisors (see below), whose sum is σ = 91754208. Its totient is φ = 6716160.

The previous prime is 30025691. The next prime is 30025727. The reversal of 30025710 is 1752003.

It is a super-2 number, since 2×300257102 = 1803086522008200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11704 + ... + 14036.

It is an arithmetic number, because the mean of its divisors is an integer number (955773).

Almost surely, 230025710 is an apocalyptic number.

30025710 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 30025710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45877104).

30025710 is an abundant number, since it is smaller than the sum of its proper divisors (61728498).

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

30025710 is a wasteful number, since it uses less digits than its factorization.

30025710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 30025710 is about 5479.5720635831. The cubic root of 30025710 is about 310.8119885260.

Adding to 30025710 its reverse (1752003), we get a palindrome (31777713).

The spelling of 30025710 in words is "thirty million, twenty-five thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2333 2574 4290 4666 6435 6999 11665 12870 13998 20997 23330 25663 30329 34995 41994 51326 60658 69990 76989 90987 104985 128315 151645 153978 181974 209970 230967 256630 272961 303290 333619 384945 454935 461934 545922 667238 769890 909870 1000857 1154835 1364805 1668095 2001714 2309670 2729610 3002571 3336190 5004285 6005142 10008570 15012855 30025710