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10744146 = 2327711201
BaseRepresentation
bin101000111111…
…000101010010
3202012212012100
4220333011102
510222303041
61022141230
7160216020
oct50770522
922185170
1010744146
116079266
123721816
1322c24aa
1415d9710
15e236b6
hexa3f152

10744146 has 48 divisors (see below), whose sum is σ = 27001728. Its totient is φ = 3024000.

The previous prime is 10744141. The next prime is 10744147. The reversal of 10744146 is 64144701.

10744146 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10744141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8346 + ... + 9546.

It is an arithmetic number, because the mean of its divisors is an integer number (562536).

Almost surely, 210744146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10744146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500864).

10744146 is an abundant number, since it is smaller than the sum of its proper divisors (16257582).

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

10744146 is a wasteful number, since it uses less digits than its factorization.

10744146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10744146 is about 3277.8264139518. The cubic root of 10744146 is about 220.6601794758.

Adding to 10744146 its reverse (64144701), we get a palindrome (74888847).

It can be divided in two parts, 107 and 44146, that added together give a triangular number (44253 = T297).

The spelling of 10744146 in words is "ten million, seven hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1201 1278 1491 2402 2982 3603 4473 7206 8407 8946 10809 16814 21618 25221 50442 75663 85271 151326 170542 255813 511626 596897 767439 1193794 1534878 1790691 3581382 5372073 10744146