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150188320 = 255938677
BaseRepresentation
bin10001111001110…
…11000100100000
3101110121100122101
420330323010200
5301422011240
622523020144
73502402552
oct1074730440
9343540571
10150188320
1177860787
124236a654
1325166839
1415d374d2
15d2ba39a
hex8f3b120

150188320 has 24 divisors (see below), whose sum is σ = 354820284. Its totient is φ = 60075264.

The previous prime is 150188309. The next prime is 150188327. The reversal of 150188320 is 23881051.

It can be written as a sum of positive squares in 2 ways, for example, as 146991376 + 3196944 = 12124^2 + 1788^2 .

It is not an unprimeable number, because it can be changed into a prime (150188327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469179 + ... + 469498.

Almost surely, 2150188320 is an apocalyptic number.

150188320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150188320 is an abundant number, since it is smaller than the sum of its proper divisors (204631964).

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

150188320 is an equidigital number, since it uses as much as digits as its factorization.

150188320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938692 (or 938684 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 150188320 is about 12255.1344341872. The cubic root of 150188320 is about 531.5515470048.

The spelling of 150188320 in words is "one hundred fifty million, one hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 938677 1877354 3754708 4693385 7509416 9386770 15018832 18773540 30037664 37547080 75094160 150188320