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10418148 = 223213113197
BaseRepresentation
bin100111101111…
…011111100100
3201121022000100
4213233133210
510131340043
61011144100
7154360416
oct47573744
921538010
1010418148
115976344
1235a5030
132209cb0
1415529b6
15dabcd3
hex9ef7e4

10418148 has 72 divisors (see below), whose sum is σ = 28756728. Its totient is φ = 3161088.

The previous prime is 10418143. The next prime is 10418153. The reversal of 10418148 is 84181401.

It is an interprime number because it is at equal distance from previous prime (10418143) and next prime (10418153).

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 10036224 = 618^2 + 3168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10418143) 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, 52786 + ... + 52982.

It is an arithmetic number, because the mean of its divisors is an integer number (399399).

Almost surely, 210418148 is an apocalyptic number.

10418148 is a gapful number since it is divisible by the number (18) 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 10418148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378364).

10418148 is an abundant number, since it is smaller than the sum of its proper divisors (18338580).

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

10418148 is a wasteful number, since it uses less digits than its factorization.

10418148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10418148 is about 3227.7156008546. The cubic root of 10418148 is about 218.4054682043.

Adding to 10418148 its reverse (84181401), we get a palindrome (94599549).

The spelling of 10418148 in words is "ten million, four hundred eighteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 197 226 234 339 394 452 468 591 678 788 1017 1182 1356 1469 1773 2034 2364 2561 2938 3546 4068 4407 5122 5876 7092 7683 8814 10244 13221 15366 17628 22261 23049 26442 30732 44522 46098 52884 66783 89044 92196 133566 200349 267132 289393 400698 578786 801396 868179 1157572 1736358 2604537 3472716 5209074 10418148