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30216000 = 263531259
BaseRepresentation
bin111001101000…
…0111101000000
32002212010120010
41303100331000
530213403000
62555344520
7514555203
oct163207500
962763503
1030216000
1116068801
12a152140
13634c3b9
14402793a
1529bcd50
hex1cd0f40

30216000 has 112 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 8051200.

The previous prime is 30215993. The next prime is 30216029. The reversal of 30216000 is 61203.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23371 + ... + 24629.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 230216000 is an apocalyptic number.

30216000 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 30216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

30216000 is an abundant number, since it is smaller than the sum of its proper divisors (69636480).

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

30216000 is a wasteful number, since it uses less digits than its factorization.

30216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1269 counting only the distinct ones).

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

The square root of 30216000 is about 5496.9082219007. The cubic root of 30216000 is about 311.4672037558.

Adding to 30216000 its reverse (61203), we get a palindrome (30277203).

The spelling of 30216000 in words is "thirty million, two hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1259 1500 1600 2000 2400 2518 3000 3777 4000 4800 5036 6000 6295 7554 8000 10072 12000 12590 15108 18885 20144 24000 25180 30216 31475 37770 40288 50360 60432 62950 75540 80576 94425 100720 120864 125900 151080 157375 188850 201440 241728 251800 302160 314750 377700 402880 472125 503600 604320 629500 755400 944250 1007200 1208640 1259000 1510800 1888500 2014400 2518000 3021600 3777000 5036000 6043200 7554000 10072000 15108000 30216000