Search a number
-
+
150466080 = 2535313471
BaseRepresentation
bin10001111011111…
…10111000100000
3101111010110122210
420331332320200
5302004403310
622533002120
73504640422
oct1075767040
9344113583
10150466080
1177a30436
1242483340
13252330ab
1415daa812
15d322820
hex8f7ee20

150466080 has 48 divisors (see below), whose sum is σ = 473969664. Its totient is φ = 40124160.

The previous prime is 150466049. The next prime is 150466091. The reversal of 150466080 is 80664051.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156256 + ... + 157215.

It is an arithmetic number, because the mean of its divisors is an integer number (9874368).

Almost surely, 2150466080 is an apocalyptic number.

150466080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150466080 is an abundant number, since it is smaller than the sum of its proper divisors (323503584).

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

150466080 is a wasteful number, since it uses less digits than its factorization.

150466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313489 (or 313481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 150466080 is about 12266.4615924887. The cubic root of 150466080 is about 531.8790310442.

It can be divided in two parts, 1 and 50466080, that added together give a triangular number (50466081 = T10046).

The spelling of 150466080 in words is "one hundred fifty million, four hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 313471 626942 940413 1253884 1567355 1880826 2507768 3134710 3761652 4702065 5015536 6269420 7523304 9404130 10031072 12538840 15046608 18808260 25077680 30093216 37616520 50155360 75233040 150466080