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66134430 = 23252343743
BaseRepresentation
bin1111110001001…
…0000110011110
311121102222101100
43330102012132
5113412300210
610321253530
71432063515
oct374220636
9147388340
1066134430
113437085a
121a1942a6
13109171cb
148ad767c
155c155c0
hex3f1219e

66134430 has 96 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 16454592.

The previous prime is 66134417. The next prime is 66134449. The reversal of 66134430 is 3443166.

66134430 is a `hidden beast` number, since 6 + 613 + 4 + 43 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66134394 and 66134403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88639 + ... + 89381.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 266134430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

66134430 is an abundant number, since it is smaller than the sum of its proper divisors (117710946).

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

66134430 is a wasteful number, since it uses less digits than its factorization.

66134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66134430 is about 8132.3077905352. The cubic root of 66134430 is about 404.3981916933.

Adding to 66134430 its reverse (3443166), we get a palindrome (69577596).

It can be divided in two parts, 66134 and 430, that added together give a square (66564 = 2582).

The spelling of 66134430 in words is "sixty-six million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 43 45 46 69 86 90 115 129 138 207 215 230 258 345 387 414 430 645 690 743 774 989 1035 1290 1486 1935 1978 2070 2229 2967 3715 3870 4458 4945 5934 6687 7430 8901 9890 11145 13374 14835 17089 17802 22290 29670 31949 33435 34178 44505 51267 63898 66870 85445 89010 95847 102534 153801 159745 170890 191694 256335 287541 307602 319490 479235 512670 575082 734827 769005 958470 1437705 1469654 1538010 2204481 2875410 3674135 4408962 6613443 7348270 11022405 13226886 22044810 33067215 66134430