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66160020 = 22352947809
BaseRepresentation
bin1111110001100…
…0010110010100
311121111021111010
43330120112110
5113414110040
610322012220
71432231233
oct374302624
9147437433
1066160020
1134389003
121a1a7070
1310925a54
148b02b1a
155c1ce80
hex3f18594

66160020 has 96 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 16651264.

The previous prime is 66160013. The next prime is 66160027. The reversal of 66160020 is 2006166.

66160020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66160013) and next prime (66160027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66160027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81376 + ... + 82184.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 266160020 is an apocalyptic number.

66160020 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 66160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

66160020 is an abundant number, since it is smaller than the sum of its proper divisors (129795180).

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

66160020 is a wasteful number, since it uses less digits than its factorization.

66160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 66160020 is about 8133.8809924906. The cubic root of 66160020 is about 404.4503441312.

Adding to 66160020 its reverse (2006166), we get a palindrome (68166186).

The spelling of 66160020 in words is "sixty-six million, one hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 235 282 290 348 435 470 564 580 705 809 870 940 1363 1410 1618 1740 2427 2726 2820 3236 4045 4089 4854 5452 6815 8090 8178 9708 12135 13630 16180 16356 20445 23461 24270 27260 38023 40890 46922 48540 70383 76046 81780 93844 114069 117305 140766 152092 190115 228138 234610 281532 351915 380230 456276 469220 570345 703830 760460 1102667 1140690 1407660 2205334 2281380 3308001 4410668 5513335 6616002 11026670 13232004 16540005 22053340 33080010 66160020