Search a number
-
+
9641142 = 2327217643
BaseRepresentation
bin100100110001…
…110010110110
3200010211011100
4210301302312
54432004032
6542350530
7144643200
oct44616266
920124140
109641142
115495595
12328b446
131cc7424
1413cd770
15ca697c
hex931cb6

9641142 has 72 divisors (see below), whose sum is σ = 25769016. Its totient is φ = 2588544.

The previous prime is 9641141. The next prime is 9641143. The reversal of 9641142 is 2411469.

9641142 is a `hidden beast` number, since 9 + 641 + 14 + 2 = 666.

9641142 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 an interprime number because it is at equal distance from previous prime (9641141) and next prime (9641143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9641141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14673 + ... + 15315.

It is an arithmetic number, because the mean of its divisors is an integer number (357903).

Almost surely, 29641142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9641142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884508).

9641142 is an abundant number, since it is smaller than the sum of its proper divisors (16127874).

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

9641142 is a wasteful number, since it uses less digits than its factorization.

9641142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 9641142 is about 3105.0188405225. The cubic root of 9641142 is about 212.8348915548.

The spelling of 9641142 in words is "nine million, six hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 643 714 833 882 1071 1286 1666 1929 2142 2499 3858 4501 4998 5787 7497 9002 10931 11574 13503 14994 21862 27006 31507 32793 40509 63014 65586 76517 81018 94521 98379 153034 189042 196758 229551 283563 459102 535619 567126 688653 1071238 1377306 1606857 3213714 4820571 9641142