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68417712 = 24321147919
BaseRepresentation
bin1000001001111…
…11100010110000
311202201222110100
410010333202300
5120003331322
610442232400
71460353356
oct404774260
9152658410
1068417712
1135690270
121aab5700
131123656c
14912d7d6
156016dac
hex413f8b0

68417712 has 120 divisors (see below), whose sum is σ = 213557760. Its totient is φ = 20269440.

The previous prime is 68417693. The next prime is 68417719. The reversal of 68417712 is 21771486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68417719) 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, 73989 + ... + 74907.

It is an arithmetic number, because the mean of its divisors is an integer number (1779648).

Almost surely, 268417712 is an apocalyptic number.

It is a pronic number, being equal to 8271×8272.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68417712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106778880).

68417712 is an abundant number, since it is smaller than the sum of its proper divisors (145140048).

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

68417712 is a wasteful number, since it uses less digits than its factorization.

68417712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 68417712 is about 8271.4999848879. The cubic root of 68417712 is about 408.9995675934. Note that the first 3 decimals are identical.

The spelling of 68417712 in words is "sixty-eight million, four hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 919 1034 1128 1551 1584 1692 1838 2068 2256 2757 3102 3384 3676 4136 4653 5514 6204 6768 7352 8271 8272 9306 10109 11028 12408 14704 16542 18612 20218 22056 24816 30327 33084 37224 40436 43193 44112 60654 66168 74448 80872 86386 90981 121308 129579 132336 161744 172772 181962 242616 259158 345544 363924 388737 475123 485232 518316 691088 727848 777474 950246 1036632 1425369 1455696 1554948 1900492 2073264 2850738 3109896 3800984 4276107 5701476 6219792 7601968 8552214 11402952 17104428 22805904 34208856 68417712