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1368080 = 24572349
BaseRepresentation
bin101001110000000010000
32120111122122
411032000100
5322234310
645153412
714425400
oct5160020
92514578
101368080
1185494a
1255b868
1338b91c
14278800
151c0555
hex14e010

1368080 has 60 divisors (see below), whose sum is σ = 3710700. Its totient is φ = 467712.

The previous prime is 1368079. The next prime is 1368083. The reversal of 1368080 is 808631.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 614656 = 868^2 + 784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3746 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

21368080 is an apocalyptic number.

1368080 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 1368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855350).

1368080 is an abundant number, since it is smaller than the sum of its proper divisors (2342620).

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

1368080 is a wasteful number, since it uses less digits than its factorization.

1368080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1368080 is about 1169.6495201555. The cubic root of 1368080 is about 111.0121459533.

The spelling of 1368080 in words is "one million, three hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 349 392 490 560 698 784 980 1396 1745 1960 2443 2792 3490 3920 4886 5584 6980 9772 12215 13960 17101 19544 24430 27920 34202 39088 48860 68404 85505 97720 136808 171010 195440 273616 342020 684040 1368080