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10194144 = 253106189
BaseRepresentation
bin100110111000…
…110011100000
3201011220201220
4212320303200
510102203034
61002255040
7152435352
oct46706340
921156656
1010194144
115833014
1234b7480
13215c04c
1414d50d2
15d65749
hex9b8ce0

10194144 has 24 divisors (see below), whose sum is σ = 26759880. Its totient is φ = 3398016.

The previous prime is 10194131. The next prime is 10194187. The reversal of 10194144 is 44149101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 52999 + ... + 53190.

It is an arithmetic number, because the mean of its divisors is an integer number (1114995).

Almost surely, 210194144 is an apocalyptic number.

It is an amenable number.

10194144 is an abundant number, since it is smaller than the sum of its proper divisors (16565736).

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

10194144 is a wasteful number, since it uses less digits than its factorization.

10194144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106202 (or 106194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10194144 is about 3192.8269605477. The cubic root of 10194144 is about 216.8287775600.

The spelling of 10194144 in words is "ten million, one hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106189 212378 318567 424756 637134 849512 1274268 1699024 2548536 3398048 5097072 10194144