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215978240 = 285315443
BaseRepresentation
bin11001101111110…
…01000100000000
3120001101211110002
430313321010000
5420242300430
633233055132
75231533112
oct1467710400
9501354402
10215978240
11100a06715
12603b74a8
133598cc9a
14209813b2
1513e63845
hexcdf9100

215978240 has 72 divisors (see below), whose sum is σ = 534121728. Its totient is φ = 83589120.

The previous prime is 215978239. The next prime is 215978249. The reversal of 215978240 is 42879512.

It is a junction number, because it is equal to n+sod(n) for n = 215978194 and 215978203.

It is not an unprimeable number, because it can be changed into a prime (215978249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36959 + ... + 42401.

Almost surely, 2215978240 is an apocalyptic number.

215978240 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 215978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267060864).

215978240 is an abundant number, since it is smaller than the sum of its proper divisors (318143488).

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

215978240 is an equidigital number, since it uses as much as digits as its factorization.

215978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 215978240 is about 14696.1981478204. The cubic root of 215978240 is about 599.9798511752.

The spelling of 215978240 in words is "two hundred fifteen million, nine hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 5443 7936 9920 10886 19840 21772 27215 39680 43544 54430 87088 108860 168733 174176 217720 337466 348352 435440 674932 696704 843665 870880 1349864 1393408 1687330 1741760 2699728 3374660 3483520 5399456 6749320 6967040 10798912 13498640 21597824 26997280 43195648 53994560 107989120 215978240