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68218410 = 23513211829
BaseRepresentation
bin1000001000011…
…10111000101010
311202100212001210
410010032320222
5114430442120
610434053550
71455563331
oct404167052
9152325053
1068218410
1135564557
121aa1a2b6
1311196930
1490bad18
155ec7ce0
hex410ee2a

68218410 has 64 divisors (see below), whose sum is σ = 177367680. Its totient is φ = 16692480.

The previous prime is 68218387. The next prime is 68218421. The reversal of 68218410 is 1481286.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 81876 + ... + 82704.

It is an arithmetic number, because the mean of its divisors is an integer number (2771370).

Almost surely, 268218410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68218410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88683840).

68218410 is an abundant number, since it is smaller than the sum of its proper divisors (109149270).

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

68218410 is a wasteful number, since it uses less digits than its factorization.

68218410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 68218410 is about 8259.4436858665. The cubic root of 68218410 is about 408.6020403607.

Adding to 68218410 its reverse (1481286), we get a palindrome (69699696).

The spelling of 68218410 in words is "sixty-eight million, two hundred eighteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 390 422 633 829 1055 1266 1658 2110 2487 2743 3165 4145 4974 5486 6330 8229 8290 10777 12435 13715 16458 21554 24870 27430 32331 41145 53885 64662 82290 107770 161655 174919 323310 349838 524757 874595 1049514 1749190 2273947 2623785 4547894 5247570 6821841 11369735 13643682 22739470 34109205 68218410