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66148680 = 23351342403
BaseRepresentation
bin1111110001010…
…1100101001000
311121110200221010
43330111211020
5113413224210
610321443520
71432153203
oct374254510
9147420833
1066148680
1134380534
121a1a05a0
1310920840
148adc93a
155c19920
hex3f15948

66148680 has 64 divisors (see below), whose sum is σ = 213716160. Its totient is φ = 16282368.

The previous prime is 66148673. The next prime is 66148697. The reversal of 66148680 is 8684166.

66148680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 19642 + ... + 22761.

It is an arithmetic number, because the mean of its divisors is an integer number (3339315).

Almost surely, 266148680 is an apocalyptic number.

66148680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66148680 is an abundant number, since it is smaller than the sum of its proper divisors (147567480).

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

66148680 is a wasteful number, since it uses less digits than its factorization.

66148680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42430 (or 42426 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 66148680 is about 8133.1838784083. The cubic root of 66148680 is about 404.4272348628.

The spelling of 66148680 in words is "sixty-six million, one hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 42403 84806 127209 169612 212015 254418 339224 424030 508836 551239 636045 848060 1017672 1102478 1272090 1653717 1696120 2204956 2544180 2756195 3307434 4409912 5088360 5512390 6614868 8268585 11024780 13229736 16537170 22049560 33074340 66148680