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150230160 = 24335157443
BaseRepresentation
bin10001111010001…
…01010010010000
3101110200111001000
420331011102100
5301424331120
622523542000
73502635543
oct1075052220
9343614030
10150230160
117788a163
124238a900
132517c8b2
1415d4885a
15d2c7990
hex8f45490

150230160 has 160 divisors (see below), whose sum is σ = 521930880. Its totient is φ = 39716352.

The previous prime is 150230159. The next prime is 150230203. The reversal of 150230160 is 61032051.

150230160 is a `hidden beast` number, since 1 + 502 + 3 + 0 + 160 = 666.

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 31 ways as a sum of consecutive naturals, for example, 338899 + ... + 339341.

It is an arithmetic number, because the mean of its divisors is an integer number (3262068).

Almost surely, 2150230160 is an apocalyptic number.

150230160 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 150230160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260965440).

150230160 is an abundant number, since it is smaller than the sum of its proper divisors (371700720).

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

150230160 is a wasteful number, since it uses less digits than its factorization.

150230160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150230160 is about 12256.8413549332. The cubic root of 150230160 is about 531.6009029330.

The spelling of 150230160 in words is "one hundred fifty million, two hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 157 180 216 240 270 314 360 432 443 471 540 628 720 785 886 942 1080 1256 1329 1413 1570 1772 1884 2160 2215 2355 2512 2658 2826 3140 3544 3768 3987 4239 4430 4710 5316 5652 6280 6645 7065 7088 7536 7974 8478 8860 9420 10632 11304 11961 12560 13290 14130 15948 16956 17720 18840 19935 21195 21264 22608 23922 26580 28260 31896 33912 35440 37680 39870 42390 47844 53160 56520 59805 63792 67824 69551 79740 84780 95688 106320 113040 119610 139102 159480 169560 191376 208653 239220 278204 318960 339120 347755 417306 478440 556408 625959 695510 834612 956880 1043265 1112816 1251918 1391020 1669224 1877877 2086530 2503836 2782040 3129795 3338448 3755754 4173060 5007672 5564080 6259590 7511508 8346120 9389385 10015344 12519180 15023016 16692240 18778770 25038360 30046032 37557540 50076720 75115080 150230160