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66708120 = 2335292661
BaseRepresentation
bin1111111001111…
…0001010011000
311122112010100010
43332132022120
5114034124440
610341441520
71440003213
oct376361230
9148463303
1066708120
1134722886
121a4102a0
1310a8837b
148c0677a
155cca580
hex3f9e298

66708120 has 96 divisors (see below), whose sum is σ = 207576720. Its totient is φ = 17149440.

The previous prime is 66708113. The next prime is 66708137. The reversal of 66708120 is 2180766.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 100590 + ... + 101250.

Almost surely, 266708120 is an apocalyptic number.

66708120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66708120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788360).

66708120 is an abundant number, since it is smaller than the sum of its proper divisors (140868600).

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

66708120 is a wasteful number, since it uses less digits than its factorization.

66708120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 66708120 is about 8167.5039026621. The cubic root of 66708120 is about 405.5641581406.

Adding to 66708120 its reverse (2180766), we get a palindrome (68888886).

The spelling of 66708120 in words is "sixty-six million, seven hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 661 696 841 870 1160 1322 1682 1740 1983 2523 2644 3305 3364 3480 3966 4205 5046 5288 6610 6728 7932 8410 9915 10092 12615 13220 15864 16820 19169 19830 20184 25230 26440 33640 38338 39660 50460 57507 76676 79320 95845 100920 115014 153352 191690 230028 287535 383380 460056 555901 575070 766760 1111802 1150140 1667703 2223604 2300280 2779505 3335406 4447208 5559010 6670812 8338515 11118020 13341624 16677030 22236040 33354060 66708120