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240132096 = 213323257
BaseRepresentation
bin11100101000000…
…10000000000000
3121201211222022100
432110002000000
5442433211341
635454510400
75644042401
oct1624020000
9551758270
10240132096
11113603886
1268505400
133a998cc9
1423c6b9a8
15161353b6
hexe502000

240132096 has 84 divisors (see below), whose sum is σ = 693885582. Its totient is φ = 80019456.

The previous prime is 240132083. The next prime is 240132097. The reversal of 240132096 is 690231042.

It can be written as a sum of positive squares in only one way, i.e., 165482496 + 74649600 = 12864^2 + 8640^2 .

It is not an unprimeable number, because it can be changed into a prime (240132097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72100 + ... + 75356.

Almost surely, 2240132096 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 240132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346942791).

240132096 is an abundant number, since it is smaller than the sum of its proper divisors (453753486).

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

240132096 is an equidigital number, since it uses as much as digits as its factorization.

240132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 240132096 is about 15496.1961784175. The cubic root of 240132096 is about 621.5604949974.

The spelling of 240132096 in words is "two hundred forty million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3257 4096 4608 6144 6514 8192 9216 9771 12288 13028 18432 19542 24576 26056 29313 36864 39084 52112 58626 73728 78168 104224 117252 156336 208448 234504 312672 416896 469008 625344 833792 938016 1250688 1667584 1876032 2501376 3335168 3752064 5002752 6670336 7504128 10005504 13340672 15008256 20011008 26681344 30016512 40022016 60033024 80044032 120066048 240132096