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150326000 = 2453116833
BaseRepresentation
bin10001111010111…
…00101011110000
3101110212100111122
420331130223300
5301440413000
622530001412
73503515136
oct1075345360
9343770448
10150326000
1177945170
1242416268
13251b43c6
1415d71756
15d2e6085
hex8f5caf0

150326000 has 80 divisors (see below), whose sum is σ = 396590688. Its totient is φ = 54656000.

The previous prime is 150325969. The next prime is 150326003. The reversal of 150326000 is 623051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 150326000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150326003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18584 + ... + 25416.

Almost surely, 2150326000 is an apocalyptic number.

150326000 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 150326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198295344).

150326000 is an abundant number, since it is smaller than the sum of its proper divisors (246264688).

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

150326000 is a wasteful number, since it uses less digits than its factorization.

150326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 150326000 is about 12260.7503848663. The cubic root of 150326000 is about 531.7139246238.

Adding to 150326000 its reverse (623051), we get a palindrome (150949051).

The spelling of 150326000 in words is "one hundred fifty million, three hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 6833 11000 13666 22000 27332 34165 54664 68330 75163 109328 136660 150326 170825 273320 300652 341650 375815 546640 601304 683300 751630 854125 1202608 1366600 1503260 1708250 1879075 2733200 3006520 3416500 3758150 6013040 6833000 7516300 9395375 13666000 15032600 18790750 30065200 37581500 75163000 150326000