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66317130 = 236511827
BaseRepresentation
bin1111110011111…
…0101101001010
311121210021000000
43330332231022
5113434122010
610325223430
71433454255
oct374765512
9147707000
1066317130
1134486050
121a261b76
131097c409
148b4409c
155c4e7c0
hex3f3eb4a

66317130 has 112 divisors (see below), whose sum is σ = 195480864. Its totient is φ = 16057440.

The previous prime is 66317117. The next prime is 66317143. The reversal of 66317130 is 3171366.

It is an interprime number because it is at equal distance from previous prime (66317117) and next prime (66317143).

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

It is a junction number, because it is equal to n+sod(n) for n = 66317094 and 66317103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 79777 + ... + 80603.

Almost surely, 266317130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66317130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97740432).

66317130 is an abundant number, since it is smaller than the sum of its proper divisors (129163734).

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

66317130 is a wasteful number, since it uses less digits than its factorization.

66317130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 66317130 is about 8143.5330170633. The cubic root of 66317130 is about 404.7702400502.

Adding to 66317130 its reverse (3171366), we get a palindrome (69488496).

It can be divided in two parts, 6 and 6317130, that added together give a palindrome (6317136).

The spelling of 66317130 in words is "sixty-six million, three hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 827 891 990 1215 1458 1485 1654 1782 2430 2481 2673 2970 3645 4135 4455 4962 5346 7290 7443 8019 8270 8910 9097 12405 13365 14886 16038 18194 22329 24810 26730 27291 37215 40095 44658 45485 54582 66987 74430 80190 81873 90970 111645 133974 136455 163746 200961 223290 245619 272910 334935 401922 409365 491238 602883 669870 736857 818730 1004805 1205766 1228095 1473714 2009610 2210571 2456190 3014415 3684285 4421142 6028830 6631713 7368570 11052855 13263426 22105710 33158565 66317130