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152031 = 31117271
BaseRepresentation
bin100101000111011111
321201112210
4211013133
514331111
63131503
71202145
oct450737
9251483
10152031
11a4250
1273b93
1354279
143d595
15300a6
hex251df

152031 has 16 divisors (see below), whose sum is σ = 235008. Its totient is φ = 86400.

The previous prime is 152029. The next prime is 152039. The reversal of 152031 is 130251.

It is not a de Polignac number, because 152031 - 21 = 152029 is a prime.

It is a super-2 number, since 2×1520312 = 46226849922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151998 and 152016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (14688).

2152031 is an apocalyptic number.

152031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152031 is a deficient number, since it is larger than the sum of its proper divisors (82977).

152031 is a wasteful number, since it uses less digits than its factorization.

152031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 152031 is about 389.9115284266. The cubic root of 152031 is about 53.3716608178.

Adding to 152031 its reverse (130251), we get a palindrome (282282).

It can be divided in two parts, 1520 and 31, that added together give a palindrome (1551).

The spelling of 152031 in words is "one hundred fifty-two thousand, thirty-one".

Divisors: 1 3 11 17 33 51 187 271 561 813 2981 4607 8943 13821 50677 152031