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150143400 = 233252117583
BaseRepresentation
bin10001111001100…
…00000110101000
3101110112002000200
420330300012220
5301414042100
622522032200
73502124601
oct1074600650
9343462020
10150143400
117782aa60
1242348660
132514c264
1415d24da8
15d2abe00
hex8f301a8

150143400 has 144 divisors (see below), whose sum is σ = 550143360. Its totient is φ = 36393600.

The previous prime is 150143393. The next prime is 150143417. The reversal of 150143400 is 4341051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16009 + ... + 23591.

It is an arithmetic number, because the mean of its divisors is an integer number (3820440).

Almost surely, 2150143400 is an apocalyptic number.

150143400 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 150143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275071680).

150143400 is an abundant number, since it is smaller than the sum of its proper divisors (399999960).

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

150143400 is a wasteful number, since it uses less digits than its factorization.

150143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150143400 is about 12253.3015958965. The cubic root of 150143400 is about 531.4985475963.

Adding to 150143400 its reverse (4341051), we get a palindrome (154484451).

The spelling of 150143400 in words is "one hundred fifty million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 7583 9900 15166 19800 22749 30332 37915 45498 60664 68247 75830 83413 90996 113745 136494 151660 166826 181992 189575 227490 250239 272988 303320 333652 341235 379150 417065 454980 500478 545976 568725 667304 682470 750717 758300 834130 909960 1000956 1137450 1251195 1364940 1501434 1516600 1668260 1706175 2001912 2085325 2274900 2502390 2729880 3002868 3336520 3412350 3753585 4170650 4549800 5004780 6005736 6255975 6824700 7507170 8341300 10009560 12511950 13649400 15014340 16682600 18767925 25023900 30028680 37535850 50047800 75071700 150143400