Search a number
-
+
66036036 = 223112321751
BaseRepresentation
bin1111101111101…
…0000101000100
311121020222102010
43323322011010
5113401123121
610315214220
71431203613
oct373720504
9147228363
1066036036
1134303940
121a147370
13108b14a1
148aad87a
155be6376
hex3efa144

66036036 has 48 divisors (see below), whose sum is σ = 175408128. Its totient is φ = 19140000.

The previous prime is 66036031. The next prime is 66036053. The reversal of 66036036 is 63063066.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66035994 and 66036012.

It is not an unprimeable number, because it can be changed into a prime (66036031) 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, 7840 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (3654336).

Almost surely, 266036036 is an apocalyptic number.

66036036 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

66036036 is an abundant number, since it is smaller than the sum of its proper divisors (109372092).

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

66036036 is a wasteful number, since it uses less digits than its factorization.

66036036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21792 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 66036036 is about 8126.2559644648. The cubic root of 66036036 is about 404.1975392484.

The spelling of 66036036 in words is "sixty-six million, thirty-six thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 21751 43502 65253 87004 130506 239261 261012 478522 500273 717783 957044 1000546 1435566 1500819 2001092 2871132 3001638 5503003 6003276 11006006 16509009 22012012 33018018 66036036