Search a number
-
+
66542160 = 2435277259
BaseRepresentation
bin1111110111010…
…1101001010000
311122012200200110
43331311221100
5114013322120
610334121320
71435412316
oct375655120
9148180613
1066542160
113461a123
121a350240
1310a2a979
148ba20b6
155c962e0
hex3f75a50

66542160 has 40 divisors (see below), whose sum is σ = 206281440. Its totient is φ = 17744512.

The previous prime is 66542143. The next prime is 66542191. The reversal of 66542160 is 6124566.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

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, 138390 + ... + 138869.

It is an arithmetic number, because the mean of its divisors is an integer number (5157036).

Almost surely, 266542160 is an apocalyptic number.

66542160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66542160 is an abundant number, since it is smaller than the sum of its proper divisors (139739280).

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

66542160 is a wasteful number, since it uses less digits than its factorization.

66542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277275 (or 277269 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66542160 is about 8157.3378010231. The cubic root of 66542160 is about 405.2275508332.

The spelling of 66542160 in words is "sixty-six million, five hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277259 554518 831777 1109036 1386295 1663554 2218072 2772590 3327108 4158885 4436144 5545180 6654216 8317770 11090360 13308432 16635540 22180720 33271080 66542160