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68448720 = 2435307929
BaseRepresentation
bin1000001010001…
…11000111010000
311202210112222210
410011013013100
5120010324340
610443032120
71460542644
oct405070720
9152715883
1068448720
113570159a
121ab0b640
1311247702
14913ac24
156021180
hex41471d0

68448720 has 80 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 18173952.

The previous prime is 68448707. The next prime is 68448739. The reversal of 68448720 is 2784486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73216 + ... + 74144.

It is an arithmetic number, because the mean of its divisors is an integer number (2663892).

Almost surely, 268448720 is an apocalyptic number.

68448720 is a gapful number since it is divisible by the number (60) 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 68448720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

68448720 is an abundant number, since it is smaller than the sum of its proper divisors (144662640).

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

68448720 is a wasteful number, since it uses less digits than its factorization.

68448720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 68448720 is about 8273.3741605224. The cubic root of 68448720 is about 409.0613466404.

The spelling of 68448720 in words is "sixty-eight million, four hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 929 1228 1535 1842 1858 2456 2787 3070 3684 3716 4605 4645 4912 5574 6140 7368 7432 9210 9290 11148 12280 13935 14736 14864 18420 18580 22296 24560 27870 36840 37160 44592 55740 73680 74320 111480 222960 285203 570406 855609 1140812 1426015 1711218 2281624 2852030 3422436 4278045 4563248 5704060 6844872 8556090 11408120 13689744 17112180 22816240 34224360 68448720