Search a number
-
+
150560904 = 23313653739
BaseRepresentation
bin10001111100101…
…10000010001000
3101111022021201210
420332112002020
5302020422104
622535013120
73505514034
oct1076260210
9344267653
10150560904
1177a956aa
124250a1a0
13252672c0
1415dd31c4
15d340989
hex8f96088

150560904 has 64 divisors (see below), whose sum is σ = 406526400. Its totient is φ = 46192896.

The previous prime is 150560873. The next prime is 150560911. The reversal of 150560904 is 409065051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203367 + ... + 204105.

It is an arithmetic number, because the mean of its divisors is an integer number (6351975).

Almost surely, 2150560904 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 150560904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203263200).

150560904 is an abundant number, since it is smaller than the sum of its proper divisors (255965496).

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

150560904 is a wasteful number, since it uses less digits than its factorization.

150560904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 150560904 is about 12270.3261570343. The cubic root of 150560904 is about 531.9907379623.

The spelling of 150560904 in words is "one hundred fifty million, five hundred sixty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 653 739 1306 1478 1959 2217 2612 2956 3918 4434 5224 5912 7836 8489 8868 9607 15672 16978 17736 19214 25467 28821 33956 38428 50934 57642 67912 76856 101868 115284 203736 230568 482567 965134 1447701 1930268 2895402 3860536 5790804 6273371 11581608 12546742 18820113 25093484 37640226 50186968 75280452 150560904