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66132384 = 2534714657
BaseRepresentation
bin1111110001000…
…1100110100000
311121102212120120
43330101212200
5113412214014
610321240240
71432054533
oct374214640
9147385516
1066132384
113436a26a
121a193080
13109162b6
148ad6a1a
155c14ba9
hex3f119a0

66132384 has 48 divisors (see below), whose sum is σ = 177303168. Its totient is φ = 21573632.

The previous prime is 66132377. The next prime is 66132427. The reversal of 66132384 is 48323166.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2817 + ... + 11840.

It is an arithmetic number, because the mean of its divisors is an integer number (3693816).

Almost surely, 266132384 is an apocalyptic number.

It is an amenable number.

66132384 is an abundant number, since it is smaller than the sum of its proper divisors (111170784).

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

66132384 is a wasteful number, since it uses less digits than its factorization.

66132384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14717 (or 14709 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 66132384 is about 8132.1819950122. The cubic root of 66132384 is about 404.3940213631.

The spelling of 66132384 in words is "sixty-six million, one hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 14657 29314 43971 58628 87942 117256 175884 234512 351768 469024 688879 703536 1377758 1407072 2066637 2755516 4133274 5511032 8266548 11022064 16533096 22044128 33066192 66132384