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66142710 = 23352310651
BaseRepresentation
bin1111110001010…
…0000111110110
311121110101202000
43330110013312
5113413031320
610321400130
71432126614
oct374240766
9147411660
1066142710
1134376aa7
121a199046
131091abca
148ada6b4
155c17c90
hex3f141f6

66142710 has 64 divisors (see below), whose sum is σ = 184066560. Its totient is φ = 16869600.

The previous prime is 66142709. The next prime is 66142723. The reversal of 66142710 is 1724166.

It is a super-2 number, since 2×661427102 = 8749716172288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885 + ... + 11535.

It is an arithmetic number, because the mean of its divisors is an integer number (2876040).

Almost surely, 266142710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66142710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92033280).

66142710 is an abundant number, since it is smaller than the sum of its proper divisors (117923850).

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

66142710 is a wasteful number, since it uses less digits than its factorization.

66142710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66142710 is about 8132.8168551862. The cubic root of 66142710 is about 404.4150678111.

Adding to 66142710 its reverse (1724166), we get a palindrome (67866876).

The spelling of 66142710 in words is "sixty-six million, one hundred forty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 10651 21302 31953 53255 63906 95859 106510 159765 191718 244973 287577 319530 479295 489946 575154 734919 958590 1224865 1437885 1469838 2204757 2449730 2875770 3674595 4409514 6614271 7349190 11023785 13228542 22047570 33071355 66142710