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73108168 = 23723311831
BaseRepresentation
bin1000101101110…
…00101011001000
312002120021112221
410112320223020
5122203430133
611130543424
71545260230
oct426705310
9162507487
1073108168
11382a4281
1220597b74
13121b9493
1499d0cc0
156641a2d
hex45b8ac8

73108168 has 64 divisors (see below), whose sum is σ = 168837120. Its totient is φ = 28987200.

The previous prime is 73108157. The next prime is 73108183. The reversal of 73108168 is 86180137.

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, 39013 + ... + 40843.

It is an arithmetic number, because the mean of its divisors is an integer number (2638080).

Almost surely, 273108168 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 73108168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84418560).

73108168 is an abundant number, since it is smaller than the sum of its proper divisors (95728952).

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

73108168 is a wasteful number, since it uses less digits than its factorization.

73108168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 73108168 is about 8550.3314555636. The cubic root of 73108168 is about 418.1402427706.

It can be divided in two parts, 73 and 108168, that added together give a square (108241 = 3292).

The spelling of 73108168 in words is "seventy-three million, one hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 92 124 161 184 217 248 322 434 644 713 868 1288 1426 1736 1831 2852 3662 4991 5704 7324 9982 12817 14648 19964 25634 39928 42113 51268 56761 84226 102536 113522 168452 227044 294791 336904 397327 454088 589582 794654 1179164 1305503 1589308 2358328 2611006 3178616 5222012 9138521 10444024 18277042 36554084 73108168