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66184140 = 223511100279
BaseRepresentation
bin1111110001111…
…0001111001100
311121112111120110
43330132033030
5113420343030
610322320020
71432361451
oct374361714
9147474513
1066184140
11343a5140
121a1b9010
1310933a19
148b0b828
155c251b0
hex3f1e3cc

66184140 has 48 divisors (see below), whose sum is σ = 202164480. Its totient is φ = 16044480.

The previous prime is 66184093. The next prime is 66184171. The reversal of 66184140 is 4148166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66184098 and 66184107.

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, 49480 + ... + 50799.

It is an arithmetic number, because the mean of its divisors is an integer number (4211760).

Almost surely, 266184140 is an apocalyptic number.

66184140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66184140 is an abundant number, since it is smaller than the sum of its proper divisors (135980340).

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

66184140 is a wasteful number, since it uses less digits than its factorization.

66184140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100302 (or 100300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 66184140 is about 8135.3635444275. The cubic root of 66184140 is about 404.4994883980.

The spelling of 66184140 in words is "sixty-six million, one hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 100279 200558 300837 401116 501395 601674 1002790 1103069 1203348 1504185 2005580 2206138 3008370 3309207 4412276 5515345 6016740 6618414 11030690 13236828 16546035 22061380 33092070 66184140