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240532240 = 24513415641
BaseRepresentation
bin11100101011000…
…11101100010000
3121202121022012111
432111203230100
5443034012430
635511235104
75650330114
oct1625435420
9552538174
10240532240
11113857483
1268678a94
133aaa9190
1423d33744
15161b3c2a
hexe563b10

240532240 has 80 divisors (see below), whose sum is σ = 617054256. Its totient is φ = 86630400.

The previous prime is 240532163. The next prime is 240532247. The reversal of 240532240 is 42235042.

It can be written as a sum of positive squares in 8 ways, for example, as 10342656 + 230189584 = 3216^2 + 15172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (240532247) by changing a digit.

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, 39820 + ... + 45460.

Almost surely, 2240532240 is an apocalyptic number.

240532240 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 240532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308527128).

240532240 is an abundant number, since it is smaller than the sum of its proper divisors (376522016).

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

240532240 is a wasteful number, since it uses less digits than its factorization.

240532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 240532240 is about 15509.1018437561. The cubic root of 240532240 is about 621.9055490830.

Adding to 240532240 its reverse (42235042), we get a palindrome (282767282).

The spelling of 240532240 in words is "two hundred forty million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 5641 8528 10660 11282 21320 22564 28205 42640 45128 56410 73333 90256 112820 146666 225640 231281 293332 366665 451280 462562 586664 733330 925124 1156405 1173328 1466660 1850248 2312810 2933320 3006653 3700496 4625620 5866640 6013306 9251240 12026612 15033265 18502480 24053224 30066530 48106448 60133060 120266120 240532240