Search a number
-
+
66362136 = 23319145531
BaseRepresentation
bin1111110100100…
…1101100011000
311121212112201220
43331021230120
5113442042021
610330212040
71434032421
oct375115430
9147775656
1066362136
1134506945
121a284020
1310996a49
148b56648
155c5ccc6
hex3f49b18

66362136 has 32 divisors (see below), whose sum is σ = 174638400. Its totient is φ = 20956320.

The previous prime is 66362099. The next prime is 66362137. The reversal of 66362136 is 63126366.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66362097 and 66362106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66362137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72310 + ... + 73221.

It is an arithmetic number, because the mean of its divisors is an integer number (5457450).

Almost surely, 266362136 is an apocalyptic number.

It is an amenable number.

66362136 is an abundant number, since it is smaller than the sum of its proper divisors (108276264).

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

66362136 is a wasteful number, since it uses less digits than its factorization.

66362136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145559 (or 145555 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 66362136 is about 8146.2958453520. The cubic root of 66362136 is about 404.8617848742.

The spelling of 66362136 in words is "sixty-six million, three hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 145531 291062 436593 582124 873186 1164248 1746372 2765089 3492744 5530178 8295267 11060356 16590534 22120712 33181068 66362136