Search a number
-
+
149159936 = 218569
BaseRepresentation
bin10001110010000…
…00000000000000
3101101200002222002
420321000000000
5301141104221
622445003132
73460560422
oct1071000000
9341602862
10149159936
1177219082
1241b534a8
1324b96723
1415b4a812
15d16580b
hex8e40000

149159936 has 38 divisors (see below), whose sum is σ = 298843590. Its totient is φ = 74448896.

The previous prime is 149159911. The next prime is 149159947. The reversal of 149159936 is 639951941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104857600 + 44302336 = 10240^2 + 6656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261860 + ... + 262428.

It is an arithmetic number, because the mean of its divisors is an integer number (7864305).

Almost surely, 2149159936 is an apocalyptic number.

149159936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149159936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149421795).

149159936 is an abundant number, since it is smaller than the sum of its proper divisors (149683654).

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

149159936 is an frugal number, since it uses more digits than its factorization.

149159936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 571 counting only the distinct ones).

The product of its digits is 262440, while the sum is 47.

The square root of 149159936 is about 12213.1050924816. The cubic root of 149159936 is about 530.3355369076.

The spelling of 149159936 in words is "one hundred forty-nine million, one hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 569 1024 1138 2048 2276 4096 4552 8192 9104 16384 18208 32768 36416 65536 72832 131072 145664 262144 291328 582656 1165312 2330624 4661248 9322496 18644992 37289984 74579968 149159936