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10141146 = 2331711047
BaseRepresentation
bin100110101011…
…110111011010
3201002020001000
4212223313122
510044004041
61001205430
7152125011
oct46536732
921066030
1010141146
1157a7214
123490876
132140ba2
1414bda78
15d54bb6
hex9abdda

10141146 has 32 divisors (see below), whose sum is σ = 23863680. Its totient is φ = 3181248.

The previous prime is 10141141. The next prime is 10141169. The reversal of 10141146 is 64114101.

It is a super-3 number, since 3×101411463 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10141141) 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, 4606 + ... + 6441.

It is an arithmetic number, because the mean of its divisors is an integer number (745740).

Almost surely, 210141146 is an apocalyptic number.

10141146 is an abundant number, since it is smaller than the sum of its proper divisors (13722534).

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

10141146 is a wasteful number, since it uses less digits than its factorization.

10141146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10141146 is about 3184.5166038192. The cubic root of 10141146 is about 216.4523698395.

Adding to 10141146 its reverse (64114101), we get a palindrome (74255247).

The spelling of 10141146 in words is "ten million, one hundred forty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 11047 22094 33141 66282 99423 187799 198846 298269 375598 563397 596538 1126794 1690191 3380382 5070573 10141146