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66430830 = 23531611171
BaseRepresentation
bin1111110101101…
…0011101101110
311122000000222010
43331122131232
5114001241310
610331502050
71434436614
oct375323556
9148000863
1066430830
1134553514
121a2b7926
13109bc0ab
148b736b4
155c73320
hex3f5a76e

66430830 has 64 divisors (see below), whose sum is σ = 167417856. Its totient is φ = 16848000.

The previous prime is 66430823. The next prime is 66430841. The reversal of 66430830 is 3803466.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 56145 + ... + 57315.

It is an arithmetic number, because the mean of its divisors is an integer number (2615904).

Almost surely, 266430830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66430830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83708928).

66430830 is an abundant number, since it is smaller than the sum of its proper divisors (100987026).

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

66430830 is a wasteful number, since it uses less digits than its factorization.

66430830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66430830 is about 8150.5110269234. The cubic root of 66430830 is about 405.0014327034.

The spelling of 66430830 in words is "sixty-six million, four hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 93 122 155 183 186 305 310 366 465 610 915 930 1171 1830 1891 2342 3513 3782 5673 5855 7026 9455 11346 11710 17565 18910 28365 35130 36301 56730 71431 72602 108903 142862 181505 214293 217806 357155 363010 428586 544515 714310 1071465 1089030 2142930 2214361 4428722 6643083 11071805 13286166 22143610 33215415 66430830