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53760108 = 223231091787
BaseRepresentation
bin1100110100010…
…1000001101100
310202011022000010
43031011001230
5102230310413
65200133220
71221645003
oct315050154
9122138003
1053760108
1128389846
1216007210
13b1a3a1c
1471d5c3a
154abddc3
hex334506c

53760108 has 48 divisors (see below), whose sum is σ = 132168960. Its totient is φ = 16974144.

The previous prime is 53760079. The next prime is 53760121. The reversal of 53760108 is 80106735.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29191 + ... + 30977.

It is an arithmetic number, because the mean of its divisors is an integer number (2753520).

Almost surely, 253760108 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 53760108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66084480).

53760108 is an abundant number, since it is smaller than the sum of its proper divisors (78408852).

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

53760108 is a wasteful number, since it uses less digits than its factorization.

53760108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 53760108 is about 7332.1284767794. The cubic root of 53760108 is about 377.4157711588.

The spelling of 53760108 in words is "fifty-three million, seven hundred sixty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 109 138 218 276 327 436 654 1308 1787 2507 3574 5014 5361 7148 7521 10028 10722 15042 21444 30084 41101 82202 123303 164404 194783 246606 389566 493212 584349 779132 1168698 2337396 4480009 8960018 13440027 17920036 26880054 53760108