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1303001320 = 235294127397
BaseRepresentation
bin100110110101010…
…0011100011101000
310100210211022210011
41031222203203220
510132032020240
6333143501304
744201220445
oct11552434350
93323738704
101303001320
116095681a5
12304457834
13179c490ca
14c50a29cc
15795d46ea
hex4daa38e8

1303001320 has 64 divisors (see below), whose sum is σ = 3106933200. Its totient is φ = 490936320.

The previous prime is 1303001311. The next prime is 1303001321. The reversal of 1303001320 is 231003031.

It can be written as a sum of positive squares in 8 ways, for example, as 362597764 + 940403556 = 19042^2 + 30666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1303001320.

It is not an unprimeable number, because it can be changed into a prime (1303001321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33862 + ... + 61258.

Almost surely, 21303001320 is an apocalyptic number.

1303001320 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 1303001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553466600).

1303001320 is an abundant number, since it is smaller than the sum of its proper divisors (1803931880).

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

1303001320 is a wasteful number, since it uses less digits than its factorization.

1303001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27478 (or 27474 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1303001320 is about 36097.1095795771. The cubic root of 1303001320 is about 1092.2321399073.

Adding to 1303001320 its reverse (231003031), we get a palindrome (1534004351).

The spelling of 1303001320 in words is "one billion, three hundred three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 27397 47560 54794 109588 136985 219176 273970 547940 794513 1095880 1123277 1589026 2246554 3178052 3972565 4493108 5616385 6356104 7945130 8986216 11232770 15890260 22465540 31780520 32575033 44931080 65150066 130300132 162875165 260600264 325750330 651500660 1303001320