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68143680 = 2634511239
BaseRepresentation
bin1000000111111…
…00101001000000
311202020001120000
410003330221000
5114421044210
610432320000
71455132423
oct403745100
9152201500
1068143680
11355133a0
121a9a3000
131116b907
14909b9ba
155eb0ac0
hex40fca40

68143680 has 280 divisors, whose sum is σ = 265541760. Its totient is φ = 16450560.

The previous prime is 68143661. The next prime is 68143693. The reversal of 68143680 is 8634186.

It is a happy number.

It is a super-2 number, since 2×681436802 = 9287122247884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285001 + ... + 285239.

Almost surely, 268143680 is an apocalyptic number.

68143680 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 68143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132770880).

68143680 is an abundant number, since it is smaller than the sum of its proper divisors (197398080).

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

68143680 is a wasteful number, since it uses less digits than its factorization.

68143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68143680 is about 8254.9185338197. The cubic root of 68143680 is about 408.4527845265.

The spelling of 68143680 in words is "sixty-eight million, one hundred forty-three thousand, six hundred eighty".