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216304128 = 293315647
BaseRepresentation
bin11001110010010…
…00101000000000
3120002000101111000
430321020220000
5420333213003
633244052000
75234361165
oct1471105000
9502011430
10216304128
11101109547
1260534000
1335a75411
1420a2806c
1513eca1a3
hexce48a00

216304128 has 80 divisors (see below), whose sum is σ = 640316160. Its totient is φ = 72096768.

The previous prime is 216304117. The next prime is 216304139. The reversal of 216304128 is 821403612.

216304128 is a `hidden beast` number, since 2 + 1 + 630 + 4 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (216304117) and next prime (216304139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6001 + ... + 21647.

It is an arithmetic number, because the mean of its divisors is an integer number (8003952).

Almost surely, 2216304128 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 216304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320158080).

216304128 is an abundant number, since it is smaller than the sum of its proper divisors (424012032).

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

216304128 is an equidigital number, since it uses as much as digits as its factorization.

216304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15674 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216304128 is about 14707.2814619154. The cubic root of 216304128 is about 600.2814679390.

The spelling of 216304128 in words is "two hundred sixteen million, three hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 15647 31294 46941 62588 93882 125176 140823 187764 250352 281646 375528 422469 500704 563292 751056 844938 1001408 1126584 1502112 1689876 2002816 2253168 3004224 3379752 4005632 4506336 6008448 6759504 8011264 9012672 12016896 13519008 18025344 24033792 27038016 36050688 54076032 72101376 108152064 216304128