Search a number
-
+
66044560 = 2454373263
BaseRepresentation
bin1111101111110…
…0001010010000
311121021102002211
43323330022100
5113401411220
610315321504
71431240511
oct373741220
9147242084
1066044560
113430a28a
121a150294
13108b532a
148ab2a08
155be8b5a
hex3efc290

66044560 has 80 divisors (see below), whose sum is σ = 159882624. Its totient is φ = 25353216.

The previous prime is 66044557. The next prime is 66044579. The reversal of 66044560 is 6544066.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250989 + ... + 251251.

Almost surely, 266044560 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 66044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79941312).

66044560 is an abundant number, since it is smaller than the sum of its proper divisors (93838064).

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

66044560 is a wasteful number, since it uses less digits than its factorization.

66044560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 66044560 is about 8126.7804203141. The cubic root of 66044560 is about 404.2149299127.

The spelling of 66044560 in words is "sixty-six million, forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 73 80 86 146 172 215 263 292 344 365 430 526 584 688 730 860 1052 1168 1315 1460 1720 2104 2630 2920 3139 3440 4208 5260 5840 6278 10520 11309 12556 15695 19199 21040 22618 25112 31390 38398 45236 50224 56545 62780 76796 90472 95995 113090 125560 153592 180944 191990 226180 251120 307184 383980 452360 767960 825557 904720 1535920 1651114 3302228 4127785 6604456 8255570 13208912 16511140 33022280 66044560