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601268240 = 24517442109
BaseRepresentation
bin100011110101101…
…010000000010000
31112220101120222002
4203311222000100
52212411040430
6135355133132
720620460426
oct4365520020
91486346862
10601268240
11289444801
121494441a8
1397750c31
1459bd7116
1537bbd845
hex23d6a010

601268240 has 40 divisors (see below), whose sum is σ = 1480184280. Its totient is φ = 226359296.

The previous prime is 601268237. The next prime is 601268263. The reversal of 601268240 is 42862106.

It can be written as a sum of positive squares in 4 ways, for example, as 138674176 + 462594064 = 11776^2 + 21508^2 .

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

It is an unprimeable number.

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, 219695 + ... + 222414.

It is an arithmetic number, because the mean of its divisors is an integer number (37004607).

Almost surely, 2601268240 is an apocalyptic number.

It is an amenable number.

601268240 is an abundant number, since it is smaller than the sum of its proper divisors (878916040).

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

601268240 is a wasteful number, since it uses less digits than its factorization.

601268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442139 (or 442133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 601268240 is about 24520.7716028676. The cubic root of 601268240 is about 844.0265110006.

The spelling of 601268240 in words is "six hundred one million, two hundred sixty-eight 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 442109 884218 1768436 2210545 3536872 4421090 7073744 7515853 8842180 15031706 17684360 30063412 35368720 37579265 60126824 75158530 120253648 150317060 300634120 601268240