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215978064 = 24317614339
BaseRepresentation
bin11001101111110…
…01000001010000
3120001101211012120
430313321001100
5420242244224
633233054240
75231532441
oct1467710120
9501354176
10215978064
11100a06575
12603b7380
133598cb93
14209812c8
1513e63779
hexcdf9050

215978064 has 80 divisors (see below), whose sum is σ = 600586560. Its totient is φ = 66631680.

The previous prime is 215978041. The next prime is 215978089. The reversal of 215978064 is 460879512.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47607 + ... + 51945.

It is an arithmetic number, because the mean of its divisors is an integer number (7507332).

Almost surely, 2215978064 is an apocalyptic number.

215978064 is a gapful number since it is divisible by the number (24) 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 215978064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).

215978064 is an abundant number, since it is smaller than the sum of its proper divisors (384608496).

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

215978064 is a wasteful number, since it uses less digits than its factorization.

215978064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 215978064 is about 14696.1921598760. The cubic root of 215978064 is about 599.9796882013.

The spelling of 215978064 in words is "two hundred fifteen million, nine hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 272 366 408 488 732 816 976 1037 1464 2074 2928 3111 4148 4339 6222 8296 8678 12444 13017 16592 17356 24888 26034 34712 49776 52068 69424 73763 104136 147526 208272 221289 264679 295052 442578 529358 590104 794037 885156 1058716 1180208 1588074 1770312 2117432 3176148 3540624 4234864 4499543 6352296 8999086 12704592 13498629 17998172 26997258 35996344 53994516 71992688 107989032 215978064