Search a number
-
+
66342540 = 223511100519
BaseRepresentation
bin1111110100010…
…0111010001100
311121211112212010
43331010322030
5113440430130
610325541220
71433621325
oct375047214
9147745763
1066342540
11344a3150
121a274810
131098ab54
148b4d44c
155c570b0
hex3f44e8c

66342540 has 48 divisors (see below), whose sum is σ = 202648320. Its totient is φ = 16082880.

The previous prime is 66342533. The next prime is 66342569. The reversal of 66342540 is 4524366.

It is a super-2 number, since 2×663425402 = 8802665227303200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 66342498 and 66342507.

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, 49600 + ... + 50919.

It is an arithmetic number, because the mean of its divisors is an integer number (4221840).

Almost surely, 266342540 is an apocalyptic number.

66342540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66342540 is an abundant number, since it is smaller than the sum of its proper divisors (136305780).

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

66342540 is a wasteful number, since it uses less digits than its factorization.

66342540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100542 (or 100540 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 66342540 is about 8145.0930013107. The cubic root of 66342540 is about 404.8219305584.

The spelling of 66342540 in words is "sixty-six million, three hundred forty-two thousand, five 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 100519 201038 301557 402076 502595 603114 1005190 1105709 1206228 1507785 2010380 2211418 3015570 3317127 4422836 5528545 6031140 6634254 11057090 13268508 16585635 22114180 33171270 66342540