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150450 = 23521759
BaseRepresentation
bin100100101110110010
321122101020
4210232302
514303300
63120310
71164426
oct445662
9248336
10150450
11a3043
1273096
1353631
143cb86
152e8a0
hex24bb2

150450 has 48 divisors (see below), whose sum is σ = 401760. Its totient is φ = 37120.

The previous prime is 150439. The next prime is 150473. The reversal of 150450 is 54051.

150450 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 (15).

150450 is a modest number, since divided by 450 gives 150 as remainder.

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, 2521 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2150450 is an apocalyptic number.

150450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

150450 is an abundant number, since it is smaller than the sum of its proper divisors (251310).

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

150450 is a wasteful number, since it uses less digits than its factorization.

150450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 150450 is about 387.8788470644. The cubic root of 150450 is about 53.1860083430.

Multiplying 150450 by its sum of digits (15), we get a triangular number (2256750 = T2124).

The spelling of 150450 in words is "one hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 59 75 85 102 118 150 170 177 255 295 354 425 510 590 850 885 1003 1275 1475 1770 2006 2550 2950 3009 4425 5015 6018 8850 10030 15045 25075 30090 50150 75225 150450