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10194864 = 243474519
BaseRepresentation
bin100110111000…
…111110110000
3201011221201120
4212320332300
510102213424
61002302240
7152440431
oct46707660
921157646
1010194864
115833609
1234b7980
13215c484
1414d5488
15d65a79
hex9b8fb0

10194864 has 40 divisors (see below), whose sum is σ = 26903040. Its totient is φ = 3325248.

The previous prime is 10194857. The next prime is 10194881. The reversal of 10194864 is 46849101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (672576).

Almost surely, 210194864 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 10194864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451520).

10194864 is an abundant number, since it is smaller than the sum of its proper divisors (16708176).

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

10194864 is a wasteful number, since it uses less digits than its factorization.

10194864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10194864 is about 3192.9397113005. The cubic root of 10194864 is about 216.8338822242.

The spelling of 10194864 in words is "ten million, one hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 4519 9038 13557 18076 27114 36152 54228 72304 108456 212393 216912 424786 637179 849572 1274358 1699144 2548716 3398288 5097432 10194864