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10130328 = 23321379137
BaseRepresentation
bin100110101001…
…001110011000
3201001200012100
4212221032120
510043132303
61001043400
7152051325
oct46511630
921050170
1010130328
11579a07a
123486560
132138ca0
1414b9b4c
15d518a3
hex9a9398

10130328 has 96 divisors (see below), whose sum is σ = 30139200. Its totient is φ = 3055104.

The previous prime is 10130311. The next prime is 10130339. The reversal of 10130328 is 82303101.

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 10130328.

It is a congruent number.

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, 73876 + ... + 74012.

It is an arithmetic number, because the mean of its divisors is an integer number (313950).

Almost surely, 210130328 is an apocalyptic number.

10130328 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 10130328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069600).

10130328 is an abundant number, since it is smaller than the sum of its proper divisors (20008872).

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

10130328 is a wasteful number, since it uses less digits than its factorization.

10130328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10130328 is about 3182.8176196571. The cubic root of 10130328 is about 216.3753760805.

Adding to 10130328 its reverse (82303101), we get a palindrome (92433429).

The spelling of 10130328 in words is "ten million, one hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 137 156 158 234 237 274 312 316 411 468 474 548 632 711 822 936 948 1027 1096 1233 1422 1644 1781 1896 2054 2466 2844 3081 3288 3562 4108 4932 5343 5688 6162 7124 8216 9243 9864 10686 10823 12324 14248 16029 18486 21372 21646 24648 32058 32469 36972 42744 43292 64116 64938 73944 86584 97407 128232 129876 140699 194814 259752 281398 389628 422097 562796 779256 844194 1125592 1266291 1688388 2532582 3376776 5065164 10130328