Search a number
-
+
164240415 = 32511332299
BaseRepresentation
bin10011100101000…
…01110000011111
3102110001021111100
421302201300133
5314021143130
624144124143
74033010013
oct1162416037
9373037440
10164240415
1184789289
1247006653
13280468a1
1417b54543
15e643c60
hex9ca1c1f

164240415 has 24 divisors (see below), whose sum is σ = 287211600. Its totient is φ = 86817024.

The previous prime is 164240411. The next prime is 164240423. The reversal of 164240415 is 514042461.

164240415 is a `hidden beast` number, since 1 + 6 + 4 + 240 + 415 = 666.

164240415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164240415 - 22 = 164240411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164240411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11065 + ... + 21234.

It is an arithmetic number, because the mean of its divisors is an integer number (11967150).

Almost surely, 2164240415 is an apocalyptic number.

164240415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164240415 is a deficient number, since it is larger than the sum of its proper divisors (122971185).

164240415 is a wasteful number, since it uses less digits than its factorization.

164240415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32423 (or 32420 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164240415 is about 12815.6316660553. The cubic root of 164240415 is about 547.6377085266.

Adding to 164240415 its reverse (514042461), we get a palindrome (678282876).

The spelling of 164240415 in words is "one hundred sixty-four million, two hundred forty thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 5085 32299 96897 161495 290691 484485 1453455 3649787 10949361 18248935 32848083 54746805 164240415