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66968304 = 243131759107
BaseRepresentation
bin1111111101110…
…1101011110000
311200000100020120
43333131223300
5114120441204
610351210240
71442135604
oct377355360
9150010216
1066968304
1134890307
121a516980
1310b49920
148c73504
155d2c6d9
hex3fddaf0

66968304 has 160 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 18886656.

The previous prime is 66968299. The next prime is 66968347. The reversal of 66968304 is 40386966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625819 + ... + 625925.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 266968304 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 66968304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

66968304 is an abundant number, since it is smaller than the sum of its proper divisors (135518736).

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

66968304 is a wasteful number, since it uses less digits than its factorization.

66968304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 66968304 is about 8183.4164014793. The cubic root of 66968304 is about 406.0907527638.

The spelling of 66968304 in words is "sixty-six million, nine hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 59 68 78 102 104 107 118 136 156 177 204 208 214 221 236 272 312 321 354 408 428 442 472 624 642 663 708 767 816 856 884 944 1003 1284 1326 1391 1416 1534 1712 1768 1819 2006 2301 2568 2652 2782 2832 3009 3068 3536 3638 4012 4173 4602 5136 5304 5457 5564 6018 6136 6313 7276 8024 8346 9204 10608 10914 11128 12036 12272 12626 13039 14552 16048 16692 18408 18939 21828 22256 23647 24072 25252 26078 29104 33384 36816 37878 39117 43656 47294 48144 50504 52156 66768 70941 75756 78234 82069 87312 94588 101008 104312 107321 141882 151512 156468 164138 189176 208624 214642 246207 283764 303024 312936 321963 328276 378352 429284 492414 567528 625872 643926 656552 858568 984828 1135056 1287852 1313104 1395173 1717136 1969656 2575704 2790346 3939312 4185519 5151408 5580692 8371038 11161384 16742076 22322768 33484152 66968304