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68165664 = 2537243337
BaseRepresentation
bin1000001000000…
…10000000100000
311202021011201020
410010002000200
5114422300124
610433005440
71455253500
oct404020040
9152234636
1068165664
1135528966
121a9b3880
1311178918
1490a5a00
155eb7379
hex4102020

68165664 has 144 divisors (see below), whose sum is σ = 213621408. Its totient is φ = 18966528.

The previous prime is 68165653. The next prime is 68165681. The reversal of 68165664 is 46656186.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202104 + ... + 202440.

It is an arithmetic number, because the mean of its divisors is an integer number (1483482).

Almost surely, 268165664 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 68165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106810704).

68165664 is an abundant number, since it is smaller than the sum of its proper divisors (145455744).

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

68165664 is a wasteful number, since it uses less digits than its factorization.

68165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 68165664 is about 8256.2499962150. The cubic root of 68165664 is about 408.4967037892.

The spelling of 68165664 in words is "sixty-eight million, one hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 337 344 392 516 588 602 672 674 688 784 903 1011 1032 1176 1204 1348 1376 1568 1806 2022 2064 2107 2352 2359 2408 2696 3612 4044 4128 4214 4704 4718 4816 5392 6321 7077 7224 8088 8428 9436 9632 10784 12642 14154 14448 14491 16176 16513 16856 18872 25284 28308 28896 28982 32352 33026 33712 37744 43473 49539 50568 56616 57964 66052 67424 75488 86946 99078 101136 101437 113232 115928 132104 173892 198156 202272 202874 226464 231856 264208 304311 347784 396312 405748 463712 528416 608622 695568 710059 792624 811496 1217244 1391136 1420118 1585248 1622992 2130177 2434488 2840236 3245984 4260354 4868976 5680472 8520708 9737952 11360944 17041416 22721888 34082832 68165664