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215324120 = 235112292137
BaseRepresentation
bin11001101010110…
…01010111011000
3120000011121011102
430311121113120
5420110332440
633211050532
75223140054
oct1465312730
9500147142
10215324120
111005aa220
1260140a48
13357c132b
1420850c64
1513d84b15
hexcd595d8

215324120 has 64 divisors (see below), whose sum is σ = 531079200. Its totient is φ = 77921280.

The previous prime is 215324113. The next prime is 215324129. The reversal of 215324120 is 21423512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 215324092 and 215324101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215324129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99692 + ... + 101828.

Almost surely, 2215324120 is an apocalyptic number.

215324120 is a gapful number since it is divisible by the number (20) 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 215324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265539600).

215324120 is an abundant number, since it is smaller than the sum of its proper divisors (315755080).

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

215324120 is a wasteful number, since it uses less digits than its factorization.

215324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 215324120 is about 14673.9265365477. The cubic root of 215324120 is about 599.3735313078.

Adding to 215324120 its reverse (21423512), we get a palindrome (236747632).

It can be divided in two parts, 21532 and 4120, that added together give a palindrome (25652).

The spelling of 215324120 in words is "two hundred fifteen million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 229 440 458 916 1145 1832 2137 2290 2519 4274 4580 5038 8548 9160 10076 10685 12595 17096 20152 21370 23507 25190 42740 47014 50380 85480 94028 100760 117535 188056 235070 470140 489373 940280 978746 1957492 2446865 3914984 4893730 5383103 9787460 10766206 19574920 21532412 26915515 43064824 53831030 107662060 215324120