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150390180 = 223251675003
BaseRepresentation
bin10001111011011…
…00010110100100
3101110222121112200
420331230112210
5301444441210
622531214500
73504203223
oct1075542644
9343877480
10150390180
1177989406
1242447430
1325207695
1415d8acba
15d30a0c0
hex8f6c5a4

150390180 has 72 divisors (see below), whose sum is σ = 459006912. Its totient is φ = 39855936.

The previous prime is 150390179. The next prime is 150390209. The reversal of 150390180 is 81093051.

150390180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27559 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (6375096).

Almost surely, 2150390180 is an apocalyptic number.

150390180 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 150390180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229503456).

150390180 is an abundant number, since it is smaller than the sum of its proper divisors (308616732).

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

150390180 is a wasteful number, since it uses less digits than its factorization.

150390180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 150390180 is about 12263.3674005144. The cubic root of 150390180 is about 531.7895836235.

The spelling of 150390180 in words is "one hundred fifty million, three hundred ninety thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5003 5010 6012 7515 10006 10020 15009 15030 20012 25015 30018 30060 45027 50030 60036 75045 90054 100060 150090 180108 225135 300180 450270 835501 900540 1671002 2506503 3342004 4177505 5013006 7519509 8355010 10026012 12532515 15039018 16710020 25065030 30078036 37597545 50130060 75195090 150390180