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10057984 = 28101389
BaseRepresentation
bin100110010111…
…100100000000
3200220222221221
4212113210000
510033323414
6555324424
7151330366
oct46274400
920828857
1010057984
11574a792
123450714
132112091
14149b636
15d3a224
hex997900

10057984 has 36 divisors (see below), whose sum is σ = 20327580. Its totient is φ = 4966400.

The previous prime is 10057967. The next prime is 10057987. The reversal of 10057984 is 48975001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6553600 + 3504384 = 2560^2 + 1872^2 .

It is not an unprimeable number, because it can be changed into a prime (10057987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25662 + ... + 26050.

It is an arithmetic number, because the mean of its divisors is an integer number (564655).

Almost surely, 210057984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163790).

10057984 is an abundant number, since it is smaller than the sum of its proper divisors (10269596).

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

10057984 is an equidigital number, since it uses as much as digits as its factorization.

10057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 10057984 is about 3171.4324839101. The cubic root of 10057984 is about 215.8590758872.

The spelling of 10057984 in words is "ten million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 389 404 778 808 1556 1616 3112 3232 6224 6464 12448 12928 24896 25856 39289 49792 78578 99584 157156 314312 628624 1257248 2514496 5028992 10057984