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66026900 = 22521923159
BaseRepresentation
bin1111101111011…
…1110110010100
311121020111212202
43323313312110
5113400330100
610315104032
71431135152
oct373676624
9147214782
1066026900
11342a7a95
121a142018
13108aa294
148aaa3d2
155be37d5
hex3ef7d94

66026900 has 108 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 23803200.

The previous prime is 66026897. The next prime is 66026911. The reversal of 66026900 is 962066.

It is a happy number.

It is a super-2 number, since 2×660269002 = 8719103047220000, which contains 22 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, 1119071 + ... + 1119129.

Almost surely, 266026900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

66026900 is an abundant number, since it is smaller than the sum of its proper divisors (92712940).

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

66026900 is a wasteful number, since it uses less digits than its factorization.

66026900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 66026900 is about 8125.6938165304. The cubic root of 66026900 is about 404.1788983202.

Adding to 66026900 its reverse (962066), we get a palindrome (66988966).

The spelling of 66026900 in words is "sixty-six million, twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 59 62 76 95 100 118 124 155 190 236 295 310 361 380 475 589 590 620 722 775 950 1121 1178 1180 1444 1475 1550 1805 1829 1900 2242 2356 2945 2950 3100 3610 3658 4484 5605 5890 5900 7220 7316 9025 9145 11191 11210 11780 14725 18050 18290 21299 22382 22420 28025 29450 34751 36100 36580 42598 44764 45725 55955 56050 58900 69502 85196 91450 106495 111910 112100 139004 173755 182900 212990 223820 279775 347510 425980 532475 559550 660269 695020 868775 1064950 1119100 1320538 1737550 2129900 2641076 3301345 3475100 6602690 13205380 16506725 33013450 66026900