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1303020 = 2233519127
BaseRepresentation
bin100111110000111101100
32110012102000
410332013230
5313144040
643532300
714034615
oct4760754
92405360
101303020
1180aa84
1252a090
13368124
1425cc0c
151ab130
hex13e1ec

1303020 has 96 divisors (see below), whose sum is σ = 4300800. Its totient is φ = 326592.

The previous prime is 1303013. The next prime is 1303031. The reversal of 1303020 is 203031.

It is a happy number.

It is a super-2 number, since 2×13030202 = 3395722240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1302993 and 1303011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10197 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (44800).

21303020 is an apocalyptic number.

1303020 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 1303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150400).

1303020 is an abundant number, since it is smaller than the sum of its proper divisors (2997780).

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

1303020 is a wasteful number, since it uses less digits than its factorization.

1303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1303020 is about 1141.4990144542. The cubic root of 1303020 is about 109.2237359344.

1303020 divided by its product of nonzero digits (18) gives a triangular number (72390 = T380).

Adding to 1303020 its reverse (203031), we get a palindrome (1506051).

The spelling of 1303020 in words is "one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 127 135 171 180 190 228 254 270 285 342 380 381 508 513 540 570 635 684 762 855 1026 1140 1143 1270 1524 1710 1905 2052 2286 2413 2540 2565 3420 3429 3810 4572 4826 5130 5715 6858 7239 7620 9652 10260 11430 12065 13716 14478 17145 21717 22860 24130 28956 34290 36195 43434 48260 65151 68580 72390 86868 108585 130302 144780 217170 260604 325755 434340 651510 1303020