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68883840 = 2732511959
BaseRepresentation
bin1000001101100…
…01010110000000
311210121122212100
410012301112000
5120113240330
610500230400
71464334344
oct406612600
9153548770
1068883840
11359794a3
121b09b400
131136a78c
149211624
1560aa060
hex41b1580

68883840 has 96 divisors (see below), whose sum is σ = 237884400. Its totient is φ = 18367488.

The previous prime is 68883809. The next prime is 68883853. The reversal of 68883840 is 4838886.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 11739.

Almost surely, 268883840 is an apocalyptic number.

68883840 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 68883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118942200).

68883840 is an abundant number, since it is smaller than the sum of its proper divisors (169000560).

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

68883840 is a wasteful number, since it uses less digits than its factorization.

68883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 68883840 is about 8299.6289073669. The cubic root of 68883840 is about 409.9263004551.

The spelling of 68883840 in words is "sixty-eight million, eight hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 11959 23918 35877 47836 59795 71754 95672 107631 119590 143508 179385 191344 215262 239180 287016 358770 382688 430524 478360 538155 574032 717540 765376 861048 956720 1076310 1148064 1435080 1530752 1722096 1913440 2152620 2296128 2870160 3444192 3826880 4305240 4592256 5740320 6888384 7653760 8610480 11480640 13776768 17220960 22961280 34441920 68883840