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68641608 = 23372973193
BaseRepresentation
bin1000001011101…
…10001101001000
311210011100120210
410011312031020
5120033012413
610451121120
71462305210
oct405661510
9153140523
1068641608
1135823502
121aba31a0
13112b4449
14918b240
15605d3c3
hex4176348

68641608 has 128 divisors (see below), whose sum is σ = 206726400. Its totient is φ = 18579456.

The previous prime is 68641607. The next prime is 68641609. The reversal of 68641608 is 80614686.

It is an interprime number because it is at equal distance from previous prime (68641607) and next prime (68641609).

It is not an unprimeable number, because it can be changed into a prime (68641607) by changing a digit.

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, 355560 + ... + 355752.

It is an arithmetic number, because the mean of its divisors is an integer number (1615050).

Almost surely, 268641608 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 68641608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103363200).

68641608 is an abundant number, since it is smaller than the sum of its proper divisors (138084792).

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

68641608 is a wasteful number, since it uses less digits than its factorization.

68641608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68641608 is about 8285.0231140293. The cubic root of 68641608 is about 409.4452302484.

The spelling of 68641608 in words is "sixty-eight million, six hundred forty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 73 84 87 116 146 168 174 193 203 219 232 292 348 386 406 438 511 579 584 609 696 772 812 876 1022 1158 1218 1351 1533 1544 1624 1752 2044 2117 2316 2436 2702 3066 4053 4088 4234 4632 4872 5404 5597 6132 6351 8106 8468 10808 11194 12264 12702 14089 14819 16212 16791 16936 22388 25404 28178 29638 32424 33582 39179 42267 44457 44776 50808 56356 59276 67164 78358 84534 88914 98623 112712 117537 118552 134328 156716 169068 177828 197246 235074 295869 313432 338136 355656 394492 408581 470148 591738 788984 817162 940296 1183476 1225743 1634324 2366952 2451486 2860067 3268648 4902972 5720134 8580201 9805944 11440268 17160402 22880536 34320804 68641608