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10017340 = 22531107151
BaseRepresentation
bin100110001101…
…101000111100
3200211221012121
4212031220330
510031023330
6554412324
7151101034
oct46155074
920757177
1010017340
1157221a3
1234310a4
1320c9728
14148a8c4
15d2d17a
hex98da3c

10017340 has 48 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 3816000.

The previous prime is 10017331. The next prime is 10017341. The reversal of 10017340 is 4371001.

10017340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017341) 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, 66265 + ... + 66415.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 210017340 is an apocalyptic number.

10017340 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 10017340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

10017340 is an abundant number, since it is smaller than the sum of its proper divisors (12045764).

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

10017340 is a wasteful number, since it uses less digits than its factorization.

10017340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10017340 is about 3165.0181674044. The cubic root of 10017340 is about 215.5679234213.

Adding to 10017340 its reverse (4371001), we get a palindrome (14388341).

The spelling of 10017340 in words is "ten million, seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 107 124 151 155 214 302 310 428 535 604 620 755 1070 1510 2140 3020 3317 4681 6634 9362 13268 16157 16585 18724 23405 32314 33170 46810 64628 66340 80785 93620 161570 323140 500867 1001734 2003468 2504335 5008670 10017340