Search a number
-
+
152142327 = 3331672713
BaseRepresentation
bin10010001000110…
…00000111110111
3101121021122001000
421010120013313
5302422023302
623032534343
73525121431
oct1104300767
9347248030
10152142327
1178975867
1242b513b3
132569c05c
14162c5651
15d55431c
hex91181f7

152142327 has 32 divisors (see below), whose sum is σ = 236226560. Its totient is φ = 96655680.

The previous prime is 152142313. The next prime is 152142359. The reversal of 152142327 is 723241251.

It is not a de Polignac number, because 152142327 - 214 = 152125943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152142327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152142427) 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 31 ways as a sum of consecutive naturals, for example, 54723 + ... + 57435.

It is an arithmetic number, because the mean of its divisors is an integer number (7382080).

Almost surely, 2152142327 is an apocalyptic number.

152142327 is a deficient number, since it is larger than the sum of its proper divisors (84084233).

152142327 is a wasteful number, since it uses less digits than its factorization.

152142327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 152142327 is about 12334.5987774228. The cubic root of 152142327 is about 533.8468504129.

Adding to 152142327 its reverse (723241251), we get a palindrome (875383578).

The spelling of 152142327 in words is "one hundred fifty-two million, one hundred forty-two thousand, three hundred twenty-seven".

Divisors: 1 3 9 27 31 67 93 201 279 603 837 1809 2077 2713 6231 8139 18693 24417 56079 73251 84103 181771 252309 545313 756927 1635939 2270781 4907817 5634901 16904703 50714109 152142327