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150003300 = 223521074673
BaseRepresentation
bin10001111000011…
…01111001100100
3101110020221211210
420330031321210
5301400101200
622515031420
73501002256
oct1074157144
9343227753
10150003300
1177744777
124229b570
1325100565
1415cc9cd6
15d280650
hex8f0de64

150003300 has 72 divisors (see below), whose sum is σ = 438159456. Its totient is φ = 39618560.

The previous prime is 150003299. The next prime is 150003313. The reversal of 150003300 is 3300051.

It is a happy number.

150003300 is nontrivially palindromic in base 11.

150003300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 11.

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, 29764 + ... + 34436.

It is an arithmetic number, because the mean of its divisors is an integer number (6085548).

Almost surely, 2150003300 is an apocalyptic number.

150003300 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 150003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219079728).

150003300 is an abundant number, since it is smaller than the sum of its proper divisors (288156156).

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

150003300 is a wasteful number, since it uses less digits than its factorization.

150003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4790 counting only the distinct ones).

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

The square root of 150003300 is about 12247.5834351108. The cubic root of 150003300 is about 531.3331809775. Note that the first 3 decimals are identical.

Adding to 150003300 its reverse (3300051), we get a palindrome (153303351).

The spelling of 150003300 in words is "one hundred fifty million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 4673 5350 6420 8025 9346 10700 14019 16050 18692 23365 28038 32100 46730 56076 70095 93460 116825 140190 233650 280380 350475 467300 500011 700950 1000022 1401900 1500033 2000044 2500055 3000066 5000110 6000132 7500165 10000220 12500275 15000330 25000550 30000660 37500825 50001100 75001650 150003300