Search a number
-
+
66136720 = 24513193347
BaseRepresentation
bin1111110001001…
…0101010010000
311121110002112011
43330102222100
5113412333340
610321312304
71432103266
oct374225220
9147402464
1066136720
1134372551
121a195694
1310918270
148ad8436
155c160ea
hex3f12a90

66136720 has 80 divisors (see below), whose sum is σ = 174363840. Its totient is φ = 23127552.

The previous prime is 66136717. The next prime is 66136727. The reversal of 66136720 is 2763166.

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

It is not an unprimeable number, because it can be changed into a prime (66136727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18087 + ... + 21433.

It is an arithmetic number, because the mean of its divisors is an integer number (2179548).

Almost surely, 266136720 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 66136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

66136720 is an abundant number, since it is smaller than the sum of its proper divisors (108227120).

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

66136720 is a wasteful number, since it uses less digits than its factorization.

66136720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 66136720 is about 8132.4485857582. The cubic root of 66136720 is about 404.4028592629.

Adding to 66136720 its reverse (2763166), we get a palindrome (68899886).

The spelling of 66136720 in words is "sixty-six million, one hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3347 3952 4940 6694 9880 13388 16735 19760 26776 33470 43511 53552 63593 66940 87022 127186 133880 174044 217555 254372 267760 317965 348088 435110 508744 635930 696176 826709 870220 1017488 1271860 1653418 1740440 2543720 3306836 3480880 4133545 5087440 6613672 8267090 13227344 16534180 33068360 66136720