Search a number
-
+
146366316 = 22324065731
BaseRepresentation
bin10001011100101…
…01111101101100
3101012102011211200
420232111331230
5244432210231
622305045500
73425043645
oct1056257554
9335364750
10146366316
11756901a8
1241026890
1324428cb5
14156206cc
15ccb2be6
hex8b95f6c

146366316 has 18 divisors (see below), whose sum is σ = 369981612. Its totient is φ = 48788760.

The previous prime is 146366303. The next prime is 146366317. The reversal of 146366316 is 613663641.

146366316 is a `hidden beast` number, since 1 + 4 + 636 + 6 + 3 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4065731 = 146366316 / (1 + 4 + 6 + 3 + 6 + 6 + 3 + 1 + 6).

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

It is not an unprimeable number, because it can be changed into a prime (146366317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2032830 + ... + 2032901.

It is an arithmetic number, because the mean of its divisors is an integer number (20554534).

Almost surely, 2146366316 is an apocalyptic number.

It is an amenable number.

146366316 is an abundant number, since it is smaller than the sum of its proper divisors (223615296).

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

146366316 is a wasteful number, since it uses less digits than its factorization.

146366316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065741 (or 4065736 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 146366316 is about 12098.1947413653. The cubic root of 146366316 is about 527.0037602335.

The spelling of 146366316 in words is "one hundred forty-six million, three hundred sixty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4065731 8131462 12197193 16262924 24394386 36591579 48788772 73183158 146366316