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1268680 = 235723197
BaseRepresentation
bin100110101101111001000
32101110022011
410311233020
5311044210
643105304
713532530
oct4655710
92343264
101268680
117971a6
12512234
133555ca
142504c0
151a0d8a
hex135bc8

1268680 has 64 divisors (see below), whose sum is σ = 3421440. Its totient is φ = 413952.

The previous prime is 1268669. The next prime is 1268681. The reversal of 1268680 is 868621.

It is not an unprimeable number, because it can be changed into a prime (1268681) 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, 6342 + ... + 6538.

It is an arithmetic number, because the mean of its divisors is an integer number (53460).

21268680 is an apocalyptic number.

1268680 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 1268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710720).

1268680 is an abundant number, since it is smaller than the sum of its proper divisors (2152760).

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

1268680 is a wasteful number, since it uses less digits than its factorization.

1268680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1268680 is about 1126.3569594050. The cubic root of 1268680 is about 108.2556813685.

The spelling of 1268680 in words is "one million, two hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 197 230 280 322 394 460 644 788 805 920 985 1288 1379 1576 1610 1970 2758 3220 3940 4531 5516 6440 6895 7880 9062 11032 13790 18124 22655 27580 31717 36248 45310 55160 63434 90620 126868 158585 181240 253736 317170 634340 1268680