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30116250 = 232542677
BaseRepresentation
bin111001011100…
…0100110011010
32002200001201200
41302320212122
530202210000
62553255030
7513661323
oct162704632
962601650
1030116250
1115aaa86a
12a104476
136315b88
143ddd44a
15299d500
hex1cb899a

30116250 has 60 divisors (see below), whose sum is σ = 81569202. Its totient is φ = 8028000.

The previous prime is 30116209. The next prime is 30116291. The reversal of 30116250 is 5261103.

30116250 is a `hidden beast` number, since 30 + 11 + 625 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30116209) and next prime (30116291).

It can be written as a sum of positive squares in 5 ways, for example, as 1375929 + 28740321 = 1173^2 + 5361^2 .

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

It is an unprimeable number.

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, 9912 + ... + 12588.

Almost surely, 230116250 is an apocalyptic number.

30116250 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 30116250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40784601).

30116250 is an abundant number, since it is smaller than the sum of its proper divisors (51452952).

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

30116250 is a wasteful number, since it uses less digits than its factorization.

30116250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 30116250 is about 5487.8274389780. The cubic root of 30116250 is about 311.1240841624.

Adding to 30116250 its reverse (5261103), we get a palindrome (35377353).

It can be divided in two parts, 3011 and 6250, that added together give a cube (9261 = 213).

The spelling of 30116250 in words is "thirty million, one hundred sixteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 2677 3750 5354 5625 8031 11250 13385 16062 24093 26770 40155 48186 66925 80310 120465 133850 200775 240930 334625 401550 602325 669250 1003875 1204650 1673125 2007750 3011625 3346250 5019375 6023250 10038750 15058125 30116250