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1299280 = 245109149
BaseRepresentation
bin100111101001101010000
32110000021111
410331031100
5313034110
643503104
714020663
oct4751520
92400244
101299280
11808194
12527a94
13366508
1425b6da
151a9e8a
hex13d350

1299280 has 40 divisors (see below), whose sum is σ = 3069000. Its totient is φ = 511488.

The previous prime is 1299269. The next prime is 1299283. The reversal of 1299280 is 829921.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 1245456 = 232^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8646 + ... + 8794.

It is an arithmetic number, because the mean of its divisors is an integer number (76725).

21299280 is an apocalyptic number.

1299280 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 1299280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534500).

1299280 is an abundant number, since it is smaller than the sum of its proper divisors (1769720).

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

1299280 is a wasteful number, since it uses less digits than its factorization.

1299280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1299280 is about 1139.8596404821. The cubic root of 1299280 is about 109.1191357935.

It can be divided in two parts, 129 and 9280, that added together give a square (9409 = 972).

The spelling of 1299280 in words is "one million, two hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 149 218 298 436 545 596 745 872 1090 1192 1490 1744 2180 2384 2980 4360 5960 8720 11920 16241 32482 64964 81205 129928 162410 259856 324820 649640 1299280