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1368679680 = 2834543307
BaseRepresentation
bin101000110010100…
…0110010100000000
310112101102010120000
41101211012110000
510300340222210
6343451320000
745626404524
oct12145062400
93471363500
101368679680
11642647335
12322450000
1318a733844
14cdabbd84
1580259ac0
hex51946500

1368679680 has 360 divisors, whose sum is σ = 5027602272. Its totient is φ = 355332096.

The previous prime is 1368679651. The next prime is 1368679681. The reversal of 1368679680 is 869768631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368679681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4458087 + ... + 4458393.

Almost surely, 21368679680 is an apocalyptic number.

1368679680 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 1368679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513801136).

1368679680 is an abundant number, since it is smaller than the sum of its proper divisors (3658922592).

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

1368679680 is an equidigital number, since it uses as much as digits as its factorization.

1368679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1368679680 is about 36995.6710981163. The cubic root of 1368679680 is about 1110.2836382535.

The spelling of 1368679680 in words is "one billion, three hundred sixty-eight million, six hundred seventy-nine thousand, six hundred eighty".