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68256480 = 2535433307
BaseRepresentation
bin1000001000110…
…00001011100000
311202102210021210
410010120023200
5114433201410
610434550120
71456112325
oct404301340
9152383253
1068256480
1135590116
121aa38340
13111ab066
1490cab4c
155ed4220
hex41182e0

68256480 has 96 divisors (see below), whose sum is σ = 220074624. Its totient is φ = 17773056.

The previous prime is 68256473. The next prime is 68256497. The reversal of 68256480 is 8465286.

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

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, 18987 + ... + 22293.

It is an arithmetic number, because the mean of its divisors is an integer number (2292444).

Almost surely, 268256480 is an apocalyptic number.

68256480 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 68256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110037312).

68256480 is an abundant number, since it is smaller than the sum of its proper divisors (151818144).

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

68256480 is a wasteful number, since it uses less digits than its factorization.

68256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 68256480 is about 8261.7479990617. The cubic root of 68256480 is about 408.6780344457.

The spelling of 68256480 in words is "sixty-eight million, two hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3307 3440 4128 5160 6614 6880 9921 10320 13228 16535 19842 20640 26456 33070 39684 49605 52912 66140 79368 99210 105824 132280 142201 158736 198420 264560 284402 317472 396840 426603 529120 568804 711005 793680 853206 1137608 1422010 1587360 1706412 2133015 2275216 2844020 3412824 4266030 4550432 5688040 6825648 8532060 11376080 13651296 17064120 22752160 34128240 68256480