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66116700 = 223252135651
BaseRepresentation
bin1111110000110…
…1110001011100
311121102002001200
43330031301130
5113411213300
610321035500
71431661026
oct374156134
9147362050
1066116700
1134359501
121a185b90
131090c110
148ad1016
155c10200
hex3f0dc5c

66116700 has 108 divisors (see below), whose sum is σ = 223220088. Its totient is φ = 16272000.

The previous prime is 66116681. The next prime is 66116711. The reversal of 66116700 is 761166.

It is a super-3 number, since 3×661167003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8875 + ... + 14525.

Almost surely, 266116700 is an apocalyptic number.

66116700 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 66116700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111610044).

66116700 is an abundant number, since it is smaller than the sum of its proper divisors (157103388).

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

66116700 is a wasteful number, since it uses less digits than its factorization.

66116700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 66116700 is about 8131.2176209963. The cubic root of 66116700 is about 404.3620500508.

Adding to 66116700 its reverse (761166), we get a palindrome (66877866).

The spelling of 66116700 in words is "sixty-six million, one hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5651 5850 11302 11700 16953 22604 28255 33906 50859 56510 67812 73463 84765 101718 113020 141275 146926 169530 203436 220389 254295 282550 293852 339060 367315 423825 440778 508590 565100 661167 734630 847650 881556 1017180 1101945 1271475 1322334 1469260 1695300 1836575 2203890 2542950 2644668 3305835 3673150 4407780 5085900 5509725 6611670 7346300 11019450 13223340 16529175 22038900 33058350 66116700