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150385800 = 23352250643
BaseRepresentation
bin10001111011010…
…11010010001000
3101110222101112110
420331223102020
5301444321200
622531142320
73504154365
oct1075532210
9343871473
10150385800
1177986094
12424449a0
13252056a6
1415d8946c
15d308b50
hex8f6b488

150385800 has 48 divisors (see below), whose sum is σ = 466197840. Its totient is φ = 40102720.

The previous prime is 150385787. The next prime is 150385811. The reversal of 150385800 is 8583051.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124722 + ... + 125921.

It is an arithmetic number, because the mean of its divisors is an integer number (9712455).

Almost surely, 2150385800 is an apocalyptic number.

150385800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150385800 is an abundant number, since it is smaller than the sum of its proper divisors (315812040).

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

150385800 is a wasteful number, since it uses less digits than its factorization.

150385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250662 (or 250653 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 150385800 is about 12263.1888185741. The cubic root of 150385800 is about 531.7844209172.

The spelling of 150385800 in words is "one hundred fifty million, three hundred eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 250643 501286 751929 1002572 1253215 1503858 2005144 2506430 3007716 3759645 5012860 6015432 6266075 7519290 10025720 12532150 15038580 18798225 25064300 30077160 37596450 50128600 75192900 150385800