Search a number
-
+
150410656 = 25111373119
BaseRepresentation
bin10001111011100…
…01010110100000
3101111000122122001
420331301112200
5302001120111
622531453344
73504320014
oct1075612640
9344018561
10150410656
11779a2830
1242457254
1325213ab6
1415d94544
15d3111c1
hex8f715a0

150410656 has 48 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 67847680.

The previous prime is 150410641. The next prime is 150410677. The reversal of 150410656 is 656014051.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46665 + ... + 49783.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2150410656 is an apocalyptic number.

150410656 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 150410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

150410656 is an abundant number, since it is smaller than the sum of its proper divisors (175092704).

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

150410656 is a wasteful number, since it uses less digits than its factorization.

150410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 150410656 is about 12264.2022162063. The cubic root of 150410656 is about 531.8137173565.

The spelling of 150410656 in words is "one hundred fifty million, four hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 2192 3014 3119 4384 6028 6238 12056 12476 24112 24952 34309 48224 49904 68618 99808 137236 274472 427303 548944 854606 1097888 1709212 3418424 4700333 6836848 9400666 13673696 18801332 37602664 75205328 150410656