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10130148 = 2232761659
BaseRepresentation
bin100110101001…
…001011100100
3201001122221200
4212221023210
510043131043
61001042500
7152050650
oct46511344
921048850
1010130148
115799a26
123486430
132138b92
1414b9a60
15d517d3
hex9a92e4

10130148 has 72 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 2842560.

The previous prime is 10130129. The next prime is 10130161. The reversal of 10130148 is 84103101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10130148.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15043 + ... + 15701.

Almost surely, 210130148 is an apocalyptic number.

10130148 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 10130148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

10130148 is an abundant number, since it is smaller than the sum of its proper divisors (19659612).

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

10130148 is a wasteful number, since it uses less digits than its factorization.

10130148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10130148 is about 3182.7893426993. The cubic root of 10130148 is about 216.3740945229.

Adding to 10130148 its reverse (84103101), we get a palindrome (94233249).

The spelling of 10130148 in words is "ten million, one hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 659 732 854 1098 1281 1318 1708 1977 2196 2562 2636 3843 3954 4613 5124 5931 7686 7908 9226 11862 13839 15372 18452 23724 27678 40199 41517 55356 80398 83034 120597 160796 166068 241194 281393 361791 482388 562786 723582 844179 1125572 1447164 1688358 2532537 3376716 5065074 10130148