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149864 = 231113131
BaseRepresentation
bin100100100101101000
321121120112
4210211220
514243424
63113452
71162631
oct444550
9247515
10149864
11a2660
1272888
13532a0
143c888
152e60e
hex24968

149864 has 32 divisors (see below), whose sum is σ = 332640. Its totient is φ = 62400.

The previous prime is 149861. The next prime is 149867. The reversal of 149864 is 468941.

It is an interprime number because it is at equal distance from previous prime (149861) and next prime (149867).

It is a self number, because there is not a number n which added to its sum of digits gives 149864.

It is not an unprimeable number, because it can be changed into a prime (149861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2149864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

149864 is an abundant number, since it is smaller than the sum of its proper divisors (182776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149864 is a wasteful number, since it uses less digits than its factorization.

149864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 149864 is about 387.1227195606. The cubic root of 149864 is about 53.1168656519.

The spelling of 149864 in words is "one hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 131 143 262 286 524 572 1048 1144 1441 1703 2882 3406 5764 6812 11528 13624 18733 37466 74932 149864