Search a number
-
+
30140100 = 223452612
BaseRepresentation
bin111001011111…
…0011011000100
32002201021110000
41302332123010
530203440400
62554001300
7514121004
oct162763304
962637400
1030140100
1116016781
12a116230
1363239a3
144008004
1529a5600
hex1cbe6c4

30140100 has 135 divisors (see below), whose sum is σ = 99330231. Its totient is φ = 7905600.

The previous prime is 30140069. The next prime is 30140101. The reversal of 30140100 is 104103.

The square root of 30140100 is 5490.

It is a perfect power (a square), and thus also a powerful number.

30140100 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 16257024 = 3726^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30140101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 494070 + ... + 494130.

Almost surely, 230140100 is an apocalyptic number.

30140100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30140100 is the 5490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30140100

30140100 is an abundant number, since it is smaller than the sum of its proper divisors (69190131).

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

30140100 is a wasteful number, since it uses less digits than its factorization.

30140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 30140100 is about 311.2061921215.

Adding to 30140100 its reverse (104103), we get a palindrome (30244203).

It can be divided in two parts, 301 and 40100, that added together give a square (40401 = 2012).

The spelling of 30140100 in words is "thirty million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 61 75 81 90 100 108 122 135 150 162 180 183 225 244 270 300 305 324 366 405 450 540 549 610 675 732 810 900 915 1098 1220 1350 1525 1620 1647 1830 2025 2196 2700 2745 3050 3294 3660 3721 4050 4575 4941 5490 6100 6588 7442 8100 8235 9150 9882 10980 11163 13725 14884 16470 18300 18605 19764 22326 24705 27450 32940 33489 37210 41175 44652 49410 54900 55815 66978 74420 82350 93025 98820 100467 111630 123525 133956 164700 167445 186050 200934 223260 247050 279075 301401 334890 372100 401868 494100 502335 558150 602802 669780 837225 1004670 1116300 1205604 1507005 1674450 2009340 2511675 3014010 3348900 5023350 6028020 7535025 10046700 15070050 30140100