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150463120 = 2451880789
BaseRepresentation
bin10001111011111…
…10001010010000
3101111010022121011
420331332022100
5302004304440
622532540304
73504625663
oct1075761220
9344108534
10150463120
1177a29195
1242481694
1325231942
1415da96da
15d3219ea
hex8f7e290

150463120 has 20 divisors (see below), whose sum is σ = 349826940. Its totient is φ = 60185216.

The previous prime is 150463111. The next prime is 150463139. The reversal of 150463120 is 21364051.

150463120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110166016 + 40297104 = 10496^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 150463091 and 150463100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 940315 + ... + 940474.

It is an arithmetic number, because the mean of its divisors is an integer number (17491347).

Almost surely, 2150463120 is an apocalyptic number.

150463120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150463120 is an abundant number, since it is smaller than the sum of its proper divisors (199363820).

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

150463120 is a wasteful number, since it uses less digits than its factorization.

150463120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880802 (or 1880796 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 150463120 is about 12266.3409377043. The cubic root of 150463120 is about 531.8755432763.

The spelling of 150463120 in words is "one hundred fifty million, four hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1880789 3761578 7523156 9403945 15046312 18807890 30092624 37615780 75231560 150463120