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1006240 = 25519331
BaseRepresentation
bin11110101101010100000
31220010022011
43311222200
5224144430
633322304
711360434
oct3655240
91803264
101006240
11628004
12406394
13293011
141c29c4
1514d22a
hexf5aa0

1006240 has 48 divisors (see below), whose sum is σ = 2509920. Its totient is φ = 380160.

The previous prime is 1006237. The next prime is 1006241. The reversal of 1006240 is 426001.

1006240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1006240.

It is not an unprimeable number, because it can be changed into a prime (1006241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2875 + ... + 3205.

It is an arithmetic number, because the mean of its divisors is an integer number (52290).

21006240 is an apocalyptic number.

1006240 is a gapful number since it is divisible by the number (10) 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 1006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254960).

1006240 is an abundant number, since it is smaller than the sum of its proper divisors (1503680).

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

1006240 is a wasteful number, since it uses less digits than its factorization.

1006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1006240 is about 1003.1151479267. The cubic root of 1006240 is about 100.2075688536.

The spelling of 1006240 in words is "one million, six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 331 380 608 662 760 1324 1520 1655 2648 3040 3310 5296 6289 6620 10592 12578 13240 25156 26480 31445 50312 52960 62890 100624 125780 201248 251560 503120 1006240