Search a number
-
+
30012500 = 225574
BaseRepresentation
bin111001001111…
…1010001010100
32002110210102002
41302133101110
530140400000
62551134432
7513050000
oct162372124
962423362
1030012500
1115a39921
12a074418
1362aa89b
143db3700
15297c8d5
hex1c9f454

30012500 has 90 divisors (see below), whose sum is σ = 76584942. Its totient is φ = 10290000.

The previous prime is 30012487. The next prime is 30012503. The reversal of 30012500 is 521003.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 13868176 + 16144324 = 3724^2 + 4018^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30012503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4287497 + ... + 4287503.

Almost surely, 230012500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38292471).

30012500 is an abundant number, since it is smaller than the sum of its proper divisors (46572442).

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

30012500 is an frugal number, since it uses more digits than its factorization.

30012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 30012500 is about 5478.3665448745. The cubic root of 30012500 is about 310.7664006099.

Adding to 30012500 its reverse (521003), we get a palindrome (30533503).

The spelling of 30012500 in words is "thirty million, twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 343 350 490 500 625 686 700 875 980 1225 1250 1372 1715 1750 2401 2450 2500 3125 3430 3500 4375 4802 4900 6125 6250 6860 8575 8750 9604 12005 12250 12500 17150 17500 21875 24010 24500 30625 34300 42875 43750 48020 60025 61250 85750 87500 120050 122500 153125 171500 214375 240100 300125 306250 428750 600250 612500 857500 1071875 1200500 1500625 2143750 3001250 4287500 6002500 7503125 15006250 30012500