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150330000 = 243545011
BaseRepresentation
bin10001111010111…
…01101010010000
3101110212112222210
420331131222100
5301441030000
622530032120
73503532612
oct1075355220
9343775883
10150330000
1177948177
1242418640
13251b6182
1415d72db2
15d2e7350
hex8f5da90

150330000 has 100 divisors (see below), whose sum is σ = 485382128. Its totient is φ = 40080000.

The previous prime is 150329983. The next prime is 150330007. The reversal of 150330000 is 33051.

It is a happy number.

150330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (150330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27495 + ... + 32505.

Almost surely, 2150330000 is an apocalyptic number.

150330000 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 150330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242691064).

150330000 is an abundant number, since it is smaller than the sum of its proper divisors (335052128).

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

150330000 is an equidigital number, since it uses as much as digits as its factorization.

150330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 150330000 is about 12260.9135059342. The cubic root of 150330000 is about 531.7186406783.

Adding to 150330000 its reverse (33051), we get a palindrome (150363051).

The spelling of 150330000 in words is "one hundred fifty million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 5011 6000 7500 10000 10022 15000 15033 20044 25055 30000 30066 40088 50110 60132 75165 80176 100220 120264 125275 150330 200440 240528 250550 300660 375825 400880 501100 601320 626375 751650 1002200 1202640 1252750 1503300 1879125 2004400 2505500 3006600 3131875 3758250 5011000 6013200 6263750 7516500 9395625 10022000 12527500 15033000 18791250 25055000 30066000 37582500 50110000 75165000 150330000