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66694020 = 223523311559
BaseRepresentation
bin1111111001101…
…0101110000100
311122111101222220
43332122232010
5114033202040
610341252340
71436614131
oct376325604
9148441886
1066694020
1134713228
121a4040b0
1310a81b23
148c01588
155cc62d0
hex3f9ab84

66694020 has 96 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 16452480.

The previous prime is 66693973. The next prime is 66694021. The reversal of 66694020 is 2049666.

It is not an unprimeable number, because it can be changed into a prime (66694021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42001 + ... + 43559.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 266694020 is an apocalyptic number.

66694020 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 66694020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

66694020 is an abundant number, since it is smaller than the sum of its proper divisors (134583420).

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

66694020 is a wasteful number, since it uses less digits than its factorization.

66694020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66694020 is about 8166.6406802308. The cubic root of 66694020 is about 405.5355816216.

The spelling of 66694020 in words is "sixty-six million, six hundred ninety-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1559 1860 2139 2852 3118 3565 4278 4677 6236 7130 7795 8556 9354 10695 14260 15590 18708 21390 23385 31180 35857 42780 46770 48329 71714 93540 96658 107571 143428 144987 179285 193316 215142 241645 289974 358570 430284 483290 537855 579948 717140 724935 966580 1075710 1111567 1449870 2151420 2223134 2899740 3334701 4446268 5557835 6669402 11115670 13338804 16673505 22231340 33347010 66694020