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68129880 = 233571317367
BaseRepresentation
bin1000000111110…
…01010001011000
311202012100121220
410003321101120
5114420124010
610432132040
71455044250
oct403712130
9152170556
1068129880
1135503a95
121a997020
1311165550
149096960
155eab970
hex40f9458

68129880 has 256 divisors, whose sum is σ = 267079680. Its totient is φ = 13492224.

The previous prime is 68129869. The next prime is 68129917. The reversal of 68129880 is 8892186.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185457 + ... + 185823.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 268129880 is an apocalyptic number.

68129880 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 68129880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

68129880 is an abundant number, since it is smaller than the sum of its proper divisors (198949800).

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

68129880 is a wasteful number, since it uses less digits than its factorization.

68129880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 68129880 is about 8254.0826261917. The cubic root of 68129880 is about 408.4252102943.

The spelling of 68129880 in words is "sixty-eight million, one hundred twenty-nine thousand, eight hundred eighty".