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5103120 = 2435111933
BaseRepresentation
bin10011011101111000010000
3100121021011110
4103131320100
52301244440
6301213320
761242621
oct23357020
910537143
105103120
112976060
121861240
1310989c9
1496ba48
156ac080
hex4dde10

5103120 has 80 divisors (see below), whose sum is σ = 17266752. Its totient is φ = 1236480.

The previous prime is 5103103. The next prime is 5103121. The reversal of 5103120 is 213015.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 5103096 and 5103105.

It is not an unprimeable number, because it can be changed into a prime (5103121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1674 + ... + 3606.

Almost surely, 25103120 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 5103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633376).

5103120 is an abundant number, since it is smaller than the sum of its proper divisors (12163632).

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

5103120 is a wasteful number, since it uses less digits than its factorization.

5103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5103120 is about 2259.0086321216. The cubic root of 5103120 is about 172.1651559495.

Adding to 5103120 its reverse (213015), we get a palindrome (5316135).

The spelling of 5103120 in words is "five million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1933 2640 3866 5799 7732 9665 11598 15464 19330 21263 23196 28995 30928 38660 42526 46392 57990 63789 77320 85052 92784 106315 115980 127578 154640 170104 212630 231960 255156 318945 340208 425260 463920 510312 637890 850520 1020624 1275780 1701040 2551560 5103120