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68181320 = 23529531109
BaseRepresentation
bin1000001000001…
…01110101001000
311202021222012002
410010011311020
5114423300240
610433210132
71455350234
oct404056510
9152258162
1068181320
11355396a9
121aa00948
1311182a9c
1490ab5c4
155ebbd15
hex4105d48

68181320 has 64 divisors (see below), whose sum is σ = 161838000. Its totient is φ = 25811968.

The previous prime is 68181317. The next prime is 68181331. The reversal of 68181320 is 2318186.

It can be written as a sum of positive squares in 8 ways, for example, as 16370116 + 51811204 = 4046^2 + 7198^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60926 + ... + 62034.

Almost surely, 268181320 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 68181320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80919000).

68181320 is an abundant number, since it is smaller than the sum of its proper divisors (93656680).

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

68181320 is a wasteful number, since it uses less digits than its factorization.

68181320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 68181320 is about 8257.1980719854. The cubic root of 68181320 is about 408.5279753242.

The spelling of 68181320 in words is "sixty-eight million, one hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1109 1160 1537 2120 2218 3074 4436 5545 6148 7685 8872 11090 12296 15370 22180 30740 32161 44360 58777 61480 64322 117554 128644 160805 235108 257288 293885 321610 470216 587770 643220 1175540 1286440 1704533 2351080 3409066 6818132 8522665 13636264 17045330 34090660 68181320