Search a number
-
+
66219936 = 25337103181
BaseRepresentation
bin1111110010011…
…0111110100000
311121121022200020
43330212332200
5113423014221
610323153440
71432601016
oct374467640
9147538606
1066219936
113441a022
121a215880
13109470c3
148b1a8b6
155c30ac6
hex3f26fa0

66219936 has 96 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 21150720.

The previous prime is 66219929. The next prime is 66219971. The reversal of 66219936 is 63991266.

It is a tau number, because it is divible by the number of its divisors (96).

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, 365766 + ... + 365946.

It is an arithmetic number, because the mean of its divisors is an integer number (1888068).

Almost surely, 266219936 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 66219936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90627264).

66219936 is an abundant number, since it is smaller than the sum of its proper divisors (115034592).

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

66219936 is a wasteful number, since it uses less digits than its factorization.

66219936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 66219936 is about 8137.5632716434. The cubic root of 66219936 is about 404.5724003980.

The spelling of 66219936 in words is "sixty-six million, two hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 103 111 148 181 206 222 296 309 362 412 444 543 592 618 724 824 888 1086 1184 1236 1448 1648 1776 2172 2472 2896 3296 3552 3811 4344 4944 5792 6697 7622 8688 9888 11433 13394 15244 17376 18643 20091 22866 26788 30488 37286 40182 45732 53576 55929 60976 74572 80364 91464 107152 111858 121952 149144 160728 182928 214304 223716 298288 321456 365856 447432 596576 642912 689791 894864 1379582 1789728 2069373 2759164 4138746 5518328 8277492 11036656 16554984 22073312 33109968 66219936