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149931 = 35617
BaseRepresentation
bin100100100110101011
321121200000
4210212223
514244211
63114043
71163055
oct444653
9247600
10149931
11a2711
1272923
1353322
143c8d5
152e656
hex249ab

149931 has 12 divisors (see below), whose sum is σ = 224952. Its totient is φ = 99792.

The previous prime is 149921. The next prime is 149939. The reversal of 149931 is 139941.

149931 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 149931 - 25 = 149899 is a prime.

It is a super-2 number, since 2×1499312 = 44958609522, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 149895 and 149904.

It is not an unprimeable number, because it can be changed into a prime (149939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (18746).

2149931 is an apocalyptic number.

149931 is a deficient number, since it is larger than the sum of its proper divisors (75021).

149931 is an frugal number, since it uses more digits than its factorization.

149931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 149931 is about 387.2092457574. The cubic root of 149931 is about 53.1247801606.

The spelling of 149931 in words is "one hundred forty-nine thousand, nine hundred thirty-one".

Divisors: 1 3 9 27 81 243 617 1851 5553 16659 49977 149931