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150410120 = 23571793001
BaseRepresentation
bin10001111011100…
…01001110001000
3101111000121220012
420331301032020
5302001110440
622531451052
73504315320
oct1075611610
9344017805
10150410120
11779a2393
1242456a88
1325213793
1415d94280
15d310e65
hex8f71388

150410120 has 64 divisors (see below), whose sum is σ = 389059200. Its totient is φ = 51264000.

The previous prime is 150410083. The next prime is 150410129. The reversal of 150410120 is 21014051.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 150410095 and 150410104.

It is not an unprimeable number, because it can be changed into a prime (150410129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48620 + ... + 51620.

It is an arithmetic number, because the mean of its divisors is an integer number (6079050).

Almost surely, 2150410120 is an apocalyptic number.

150410120 is a gapful number since it is divisible by the number (10) 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 150410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194529600).

150410120 is an abundant number, since it is smaller than the sum of its proper divisors (238649080).

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

150410120 is a wasteful number, since it uses less digits than its factorization.

150410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 150410120 is about 12264.1803639705. The cubic root of 150410120 is about 531.8130856360.

Adding to 150410120 its reverse (21014051), we get a palindrome (171424171).

The spelling of 150410120 in words is "one hundred fifty million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2506 3001 3580 5012 6002 6265 7160 10024 12004 12530 15005 21007 24008 25060 30010 42014 50120 60020 84028 105035 120040 168056 210070 420140 537179 840280 1074358 2148716 2685895 3760253 4297432 5371790 7520506 10743580 15041012 18801265 21487160 30082024 37602530 75205060 150410120