Search a number
-
+
10541340 = 22375241
BaseRepresentation
bin101000001101…
…100100011100
3201211120000000
4220031210130
510144310330
61013534300
7155412525
oct50154434
921746000
1010541340
115a4a957
123644390
1322510a4
14158584c
15dd3560
hexa0d91c

10541340 has 96 divisors (see below), whose sum is σ = 33337920. Its totient is φ = 2799360.

The previous prime is 10541339. The next prime is 10541347. The reversal of 10541340 is 4314501.

It is a happy number.

It is a super-2 number, since 2×105413402 = 222239697991200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43620 + ... + 43860.

It is an arithmetic number, because the mean of its divisors is an integer number (347270).

Almost surely, 210541340 is an apocalyptic number.

10541340 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 10541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668960).

10541340 is an abundant number, since it is smaller than the sum of its proper divisors (22796580).

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

10541340 is an equidigital number, since it uses as much as digits as its factorization.

10541340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10541340 is about 3246.7429833604. The cubic root of 10541340 is about 219.2629605403.

Adding to 10541340 its reverse (4314501), we get a palindrome (14855841).

The spelling of 10541340 in words is "ten million, five hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 241 243 270 324 405 482 486 540 723 729 810 964 972 1205 1215 1446 1458 1620 2169 2187 2410 2430 2892 2916 3615 3645 4338 4374 4820 4860 6507 7230 7290 8676 8748 10845 10935 13014 14460 14580 19521 21690 21870 26028 32535 39042 43380 43740 58563 65070 78084 97605 117126 130140 175689 195210 234252 292815 351378 390420 527067 585630 702756 878445 1054134 1171260 1756890 2108268 2635335 3513780 5270670 10541340