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9940240 = 245177309
BaseRepresentation
bin100101111010…
…110100010000
3200201000110001
4211322310100
510021041430
6553015344
7150330202
oct45726420
920630401
109940240
11567a282
1233b4554
1320a05cb
14146a772
15d153ca
hex97ad10

9940240 has 40 divisors (see below), whose sum is σ = 24473880. Its totient is φ = 3741696.

The previous prime is 9940219. The next prime is 9940241. The reversal of 9940240 is 420499.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 8133904 = 1344^2 + 2852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 9940199 and 9940208.

It is not an unprimeable number, because it can be changed into a prime (9940241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2295 + ... + 5014.

It is an arithmetic number, because the mean of its divisors is an integer number (611847).

Almost surely, 29940240 is an apocalyptic number.

It is an amenable number.

9940240 is an abundant number, since it is smaller than the sum of its proper divisors (14533640).

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

9940240 is a wasteful number, since it uses less digits than its factorization.

9940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7333 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9940240 is about 3152.8146155459. The cubic root of 9940240 is about 215.0134478699.

The spelling of 9940240 in words is "nine million, nine hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7309 14618 29236 36545 58472 73090 116944 124253 146180 248506 292360 497012 584720 621265 994024 1242530 1988048 2485060 4970120 9940240