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68331120 = 243511213181
BaseRepresentation
bin1000001001010…
…10011001110000
311202120120200020
410010222121300
5114443043440
610440323440
71456543044
oct404523160
9152516606
1068331120
1135631200
121aa73580
1311206020
14910a024
155eeb3d0
hex412a670

68331120 has 240 divisors, whose sum is σ = 252129696. Its totient is φ = 15206400.

The previous prime is 68331113. The next prime is 68331157. The reversal of 68331120 is 2113386.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377430 + ... + 377610.

Almost surely, 268331120 is an apocalyptic number.

68331120 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 68331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126064848).

68331120 is an abundant number, since it is smaller than the sum of its proper divisors (183798576).

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

68331120 is a wasteful number, since it uses less digits than its factorization.

68331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 68331120 is about 8266.2639686862. The cubic root of 68331120 is about 408.8269463947.

The spelling of 68331120 in words is "sixty-eight million, three hundred thirty-one thousand, one hundred twenty".