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68444080 = 24519371217
BaseRepresentation
bin1000001010001…
…01111110110000
311202210022121221
410011011332300
5120010202310
610442554424
71460523265
oct405057660
9152708557
1068444080
11356a9061
121ab08a14
1311245573
14913926c
15601eada
hex4145fb0

68444080 has 80 divisors (see below), whose sum is σ = 172176480. Its totient is φ = 25214976.

The previous prime is 68444053. The next prime is 68444083. The reversal of 68444080 is 8044486.

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

It is not an unprimeable number, because it can be changed into a prime (68444083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55632 + ... + 56848.

It is an arithmetic number, because the mean of its divisors is an integer number (2152206).

Almost surely, 268444080 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 68444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86088240).

68444080 is an abundant number, since it is smaller than the sum of its proper divisors (103732400).

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

68444080 is a wasteful number, since it uses less digits than its factorization.

68444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 68444080 is about 8273.0937381369. The cubic root of 68444080 is about 409.0521032850.

The spelling of 68444080 in words is "sixty-eight million, four hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 1217 1406 1480 1520 2434 2812 2960 3515 4868 5624 6085 7030 9736 11248 12170 14060 19472 23123 24340 28120 45029 46246 48680 56240 90058 92492 97360 115615 180116 184984 225145 231230 360232 369968 450290 462460 720464 855551 900580 924920 1711102 1801160 1849840 3422204 3602320 4277755 6844408 8555510 13688816 17111020 34222040 68444080