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1268020 = 225134877
BaseRepresentation
bin100110101100100110100
32101102101201
410311210310
5311034040
643102244
713530565
oct4654464
92342351
101268020
11796756
12511984
13355210
1425016c
151a0a9a
hex135934

1268020 has 24 divisors (see below), whose sum is σ = 2868264. Its totient is φ = 468096.

The previous prime is 1268017. The next prime is 1268039. The reversal of 1268020 is 208621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 1267876 = 12^2 + 1126^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2179 + ... + 2698.

It is an arithmetic number, because the mean of its divisors is an integer number (119511).

21268020 is an apocalyptic number.

1268020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268020 is an abundant number, since it is smaller than the sum of its proper divisors (1600244).

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

1268020 is a wasteful number, since it uses less digits than its factorization.

1268020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1268020 is about 1126.0639413461. The cubic root of 1268020 is about 108.2369056480.

The spelling of 1268020 in words is "one million, two hundred sixty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4877 9754 19508 24385 48770 63401 97540 126802 253604 317005 634010 1268020