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68182900 = 22524789163
BaseRepresentation
bin1000001000001…
…10001101110100
311202022001100121
410010012031310
5114423323100
610433221324
71455354652
oct404061564
9152261317
1068182900
113553a905
121aa01844
1311183716
1490abdd2
155ebc51a
hex4106374

68182900 has 72 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 26231040.

The previous prime is 68182889. The next prime is 68182901. The reversal of 68182900 is 928186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68182901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418219 + ... + 418381.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 268182900 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 68182900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

68182900 is an abundant number, since it is smaller than the sum of its proper divisors (85557260).

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

68182900 is a wasteful number, since it uses less digits than its factorization.

68182900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 68182900 is about 8257.2937455319. The cubic root of 68182900 is about 408.5311309745.

The spelling of 68182900 in words is "sixty-eight million, one hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 89 94 100 163 178 188 235 326 356 445 470 652 815 890 940 1175 1630 1780 2225 2350 3260 4075 4183 4450 4700 7661 8150 8366 8900 14507 15322 16300 16732 20915 29014 30644 38305 41830 58028 72535 76610 83660 104575 145070 153220 191525 209150 290140 362675 383050 418300 681829 725350 766100 1363658 1450700 2727316 3409145 6818290 13636580 17045725 34091450 68182900