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10266640 = 245177549
BaseRepresentation
bin100111001010…
…100000010000
3201022121011221
4213022200100
510112013030
61004014424
7153156616
oct47124020
921277157
1010266640
11588252a
123531414
132186047
1415136b6
15d7be7a
hex9ca810

10266640 has 40 divisors (see below), whose sum is σ = 25277400. Its totient is φ = 3864576.

The previous prime is 10266629. The next prime is 10266661. The reversal of 10266640 is 4666201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 6471936 = 1948^2 + 2544^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415 + ... + 5134.

It is an arithmetic number, because the mean of its divisors is an integer number (631935).

Almost surely, 210266640 is an apocalyptic number.

10266640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10266640 is an abundant number, since it is smaller than the sum of its proper divisors (15010760).

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

10266640 is a wasteful number, since it uses less digits than its factorization.

10266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7579 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10266640 is about 3204.1597962648. The cubic root of 10266640 is about 217.3415589829.

The spelling of 10266640 in words is "ten million, two hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7549 15098 30196 37745 60392 75490 120784 128333 150980 256666 301960 513332 603920 641665 1026664 1283330 2053328 2566660 5133320 10266640