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68273004 = 223192511193
BaseRepresentation
bin1000001000111…
…00001101101100
311202110121221210
410010130031230
5114434214004
610435154420
71456211442
oct404341554
9152417853
1068273004
11355a1578
121aa45a10
13111b5737
1490d2b92
155ed9089
hex411c36c

68273004 has 48 divisors (see below), whose sum is σ = 168497280. Its totient is φ = 21456000.

The previous prime is 68272987. The next prime is 68273069. The reversal of 68273004 is 40037286.

It is a super-2 number, since 2×682730042 = 9322406150368032, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 56632 + ... + 57824.

It is an arithmetic number, because the mean of its divisors is an integer number (3510360).

Almost surely, 268273004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68273004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84248640).

68273004 is an abundant number, since it is smaller than the sum of its proper divisors (100224276).

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

68273004 is a wasteful number, since it uses less digits than its factorization.

68273004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 68273004 is about 8262.7479690476. The cubic root of 68273004 is about 408.7110103183.

The spelling of 68273004 in words is "sixty-eight million, two hundred seventy-three thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 251 502 753 1004 1193 1506 2386 3012 3579 4769 4772 7158 9538 14307 14316 19076 22667 28614 45334 57228 68001 90668 136002 272004 299443 598886 898329 1197772 1796658 3593316 5689417 11378834 17068251 22757668 34136502 68273004