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10303320 = 2335194519
BaseRepresentation
bin100111010011…
…011101011000
3201101110111110
4213103131120
510114201240
61004500320
7153401556
oct47233530
921343443
1010303320
1158a8045
12354a6a0
132199951
141522bd6
15d87c80
hex9d3758

10303320 has 64 divisors (see below), whose sum is σ = 32544000. Its totient is φ = 2602368.

The previous prime is 10303291. The next prime is 10303331. The reversal of 10303320 is 2330301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10303296 and 10303305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 4539.

It is an arithmetic number, because the mean of its divisors is an integer number (508500).

Almost surely, 210303320 is an apocalyptic number.

10303320 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 10303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272000).

10303320 is an abundant number, since it is smaller than the sum of its proper divisors (22240680).

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

10303320 is a wasteful number, since it uses less digits than its factorization.

10303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 10303320 is about 3209.8785023736. The cubic root of 10303320 is about 217.6000860546.

Adding to 10303320 its reverse (2330301), we get a palindrome (12633621).

The spelling of 10303320 in words is "ten million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 4519 9038 13557 18076 22595 27114 36152 45190 54228 67785 85861 90380 108456 135570 171722 180760 257583 271140 343444 429305 515166 542280 686888 858610 1030332 1287915 1717220 2060664 2575830 3434440 5151660 10303320