Search a number
-
+
30026100 = 22352137699
BaseRepresentation
bin111001010001…
…0100101110100
32002111111001210
41302202211310
530141313400
62551321420
7513134436
oct162424564
962444053
1030026100
1115a49065
12a080270
1362b3b30
143db8656
152981950
hex1ca2974

30026100 has 72 divisors (see below), whose sum is σ = 93570400. Its totient is φ = 7390080.

The previous prime is 30026071. The next prime is 30026111. The reversal of 30026100 is 162003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51 + ... + 7749.

Almost surely, 230026100 is an apocalyptic number.

30026100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46785200).

30026100 is an abundant number, since it is smaller than the sum of its proper divisors (63544300).

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

30026100 is a wasteful number, since it uses less digits than its factorization.

30026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30026100 is about 5479.6076501881. The cubic root of 30026100 is about 310.8133342189.

Adding to 30026100 its reverse (162003), we get a palindrome (30188103).

The spelling of 30026100 in words is "thirty million, twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 7699 15398 23097 30796 38495 46194 76990 92388 100087 115485 153980 192475 200174 230970 300261 384950 400348 461940 500435 577425 600522 769900 1000870 1154850 1201044 1501305 2001740 2309700 2502175 3002610 5004350 6005220 7506525 10008700 15013050 30026100