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66014740 = 225111719929
BaseRepresentation
bin1111101111010…
…0111000010100
311121012220012101
43323310320110
5113344432430
610314531444
71431054541
oct373647024
9147186171
1066014740
1134299940
121a136b84
13108a489c
148aa5bc8
155bdedca
hex3ef4e14

66014740 has 96 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 21381120.

The previous prime is 66014677. The next prime is 66014777. The reversal of 66014740 is 4741066.

It is a junction number, because it is equal to n+sod(n) for n = 66014699 and 66014708.

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, 70596 + ... + 71524.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 266014740 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 66014740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

66014740 is an abundant number, since it is smaller than the sum of its proper divisors (102724460).

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

66014740 is a wasteful number, since it uses less digits than its factorization.

66014740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 66014740 is about 8124.9455382790. The cubic root of 66014740 is about 404.1540846097.

It can be divided in two parts, 660 and 14740, that added together give a triangular number (15400 = T175).

The spelling of 66014740 in words is "sixty-six million, fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 929 935 1045 1292 1615 1858 1870 2090 3230 3553 3716 3740 4180 4645 6460 7106 9290 10219 14212 15793 17651 17765 18580 20438 31586 35302 35530 40876 51095 63172 70604 71060 78965 88255 102190 157930 173723 176510 194161 204380 300067 315860 347446 353020 388322 600134 694892 776644 868615 970805 1200268 1500335 1737230 1941610 3000670 3300737 3474460 3883220 6001340 6601474 13202948 16503685 33007370 66014740