Search a number
-
+
152013141 = 3273232141
BaseRepresentation
bin10010000111110…
…00100101010101
3101121001001211100
421003320211111
5302403410031
623030100313
73524043000
oct1103704525
9347031740
10152013141
11788977a5
1242aaa699
1325655307
1416290537
15d52ade6
hex90f8955

152013141 has 48 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 83049120.

The previous prime is 152013107. The next prime is 152013179. The reversal of 152013141 is 141310251.

152013141 is a `hidden beast` number, since 1 + 520 + 1 + 3 + 141 = 666.

It is not a de Polignac number, because 152013141 - 26 = 152013077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69931 + ... + 72071.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2152013141 is an apocalyptic number.

It is an amenable number.

152013141 is a deficient number, since it is larger than the sum of its proper divisors (115308459).

152013141 is a wasteful number, since it uses less digits than its factorization.

152013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152013141 is about 12329.3609323436. The cubic root of 152013141 is about 533.6957088916.

Adding to 152013141 its reverse (141310251), we get a palindrome (293323392).

The spelling of 152013141 in words is "one hundred fifty-two million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 343 441 483 1029 1127 1449 2141 3087 3381 6423 7889 10143 14987 19269 23667 44961 49243 71001 104909 134883 147729 314727 344701 443187 734363 944181 1034103 2203089 2412907 3102309 6609267 7238721 16890349 21716163 50671047 152013141