[go: up one dir, main page]

Search a number
-
+
10540068 = 22371121761
BaseRepresentation
bin101000001101…
…010000100100
3201211111020220
4220031100210
510144240233
61013524340
7155406030
oct50152044
921744226
1010540068
115a49a00
1236436b0
132250636
1415851c0
15dd2eb3
hexa0d424

10540068 has 144 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 2534400.

The previous prime is 10540063. The next prime is 10540081. The reversal of 10540068 is 86004501.

It is a super-2 number, since 2×105400682 = 222186066889248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172758 + ... + 172818.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 210540068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

10540068 is an abundant number, since it is smaller than the sum of its proper divisors (22707804).

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

10540068 is a wasteful number, since it uses less digits than its factorization.

10540068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10540068 is about 3246.5470888315. The cubic root of 10540068 is about 219.2541408613.

Adding to 10540068 its reverse (86004501), we get a palindrome (96544569).

The spelling of 10540068 in words is "ten million, five hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 61 66 68 77 84 102 119 121 122 132 154 183 187 204 231 238 242 244 308 357 363 366 374 427 462 476 484 561 671 714 726 732 748 847 854 924 1037 1122 1281 1309 1342 1428 1452 1694 1708 2013 2057 2074 2244 2541 2562 2618 2684 3111 3388 3927 4026 4114 4148 4697 5082 5124 5236 6171 6222 7259 7381 7854 8052 8228 9394 10164 11407 12342 12444 14091 14399 14518 14762 15708 18788 21777 22143 22814 24684 28182 28798 29036 29524 34221 43197 43554 44286 45628 51667 56364 57596 68442 79849 86394 87108 88572 103334 125477 136884 155001 159698 172788 206668 239547 250954 310002 319396 376431 479094 501908 620004 752862 878339 958188 1505724 1756678 2635017 3513356 5270034 10540068