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66642480 = 2433530853
BaseRepresentation
bin1111111000111…
…0001000110000
311122101210022000
43332032020300
5114030024410
610340214000
71436310642
oct376161060
9148353260
1066642480
1134688533
121a39a300
1310a64528
148bca892
155cb5dc0
hex3f8e230

66642480 has 80 divisors (see below), whose sum is σ = 229553760. Its totient is φ = 17770752.

The previous prime is 66642473. The next prime is 66642497. The reversal of 66642480 is 8424666.

It is a happy number.

66642480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13267 + ... + 17586.

It is an arithmetic number, because the mean of its divisors is an integer number (2869422).

Almost surely, 266642480 is an apocalyptic number.

66642480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66642480 is an abundant number, since it is smaller than the sum of its proper divisors (162911280).

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

66642480 is a wasteful number, since it uses less digits than its factorization.

66642480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30875 (or 30863 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 66642480 is about 8163.4845501171. The cubic root of 66642480 is about 405.4310910428.

The spelling of 66642480 in words is "sixty-six million, six hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 30853 61706 92559 123412 154265 185118 246824 277677 308530 370236 462795 493648 555354 617060 740472 833031 925590 1110708 1234120 1388385 1480944 1666062 1851180 2221416 2468240 2776770 3332124 3702360 4165155 4442832 5553540 6664248 7404720 8330310 11107080 13328496 16660620 22214160 33321240 66642480