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10289004 = 22311233389
BaseRepresentation
bin100111001111…
…111101101100
3201100201212020
4213033331230
510113222004
61004310140
7153312045
oct47177554
921321766
1010289004
115898310
123542350
13219328b
14151b8cc
15d838d9
hex9cff6c

10289004 has 48 divisors (see below), whose sum is σ = 27336960. Its totient is φ = 2981440.

The previous prime is 10289003. The next prime is 10289009. The reversal of 10289004 is 40098201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342 + ... + 4730.

It is an arithmetic number, because the mean of its divisors is an integer number (569520).

Almost surely, 210289004 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 10289004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668480).

10289004 is an abundant number, since it is smaller than the sum of its proper divisors (17047956).

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

10289004 is a wasteful number, since it uses less digits than its factorization.

10289004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3428 counting only the distinct ones).

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

The square root of 10289004 is about 3207.6477362703. The cubic root of 10289004 is about 217.4992574952.

The spelling of 10289004 in words is "ten million, two hundred eighty-nine thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 3389 6778 10167 13556 20334 37279 40668 74558 77947 111837 149116 155894 223674 233841 311788 447348 467682 857417 935364 1714834 2572251 3429668 5144502 10289004