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68364880 = 2451018461
BaseRepresentation
bin1000001001100…
…10101001010000
311202122021222121
410010302221100
5120000134010
610441144024
71460043343
oct404625120
9152567877
1068364880
1135654601
121aa8b014
13112184bc
14911845a
1560063da
hex4132a50

68364880 has 40 divisors (see below), whose sum is σ = 160541064. Its totient is φ = 27072000.

The previous prime is 68364853. The next prime is 68364949. The reversal of 68364880 is 8846386.

68364880 = T247 + T248 + ... + T751.

It can be written as a sum of positive squares in 4 ways, for example, as 35141184 + 33223696 = 5928^2 + 5764^2 .

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

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, 3850 + ... + 12310.

Almost surely, 268364880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80270532).

68364880 is an abundant number, since it is smaller than the sum of its proper divisors (92176184).

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

68364880 is a wasteful number, since it uses less digits than its factorization.

68364880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 68364880 is about 8268.3057514826. The cubic root of 68364880 is about 408.8942643083.

The spelling of 68364880 in words is "sixty-eight million, three hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 8461 16922 33844 42305 67688 84610 135376 169220 338440 676880 854561 1709122 3418244 4272805 6836488 8545610 13672976 17091220 34182440 68364880