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150023016 = 233411131619
BaseRepresentation
bin10001111000100…
…10101101101000
3101110021221220000
420330102231220
5301401214031
622515303000
73501113613
oct1074225550
9343257800
10150023016
1177758570
12422aaa60
1325109520
1415cd317a
15d2863e6
hex8f12b68

150023016 has 160 divisors (see below), whose sum is σ = 493970400. Its totient is φ = 41938560.

The previous prime is 150022987. The next prime is 150023033. The reversal of 150023016 is 610320051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150023016.

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 39 ways as a sum of consecutive naturals, for example, 91855 + ... + 93473.

It is an arithmetic number, because the mean of its divisors is an integer number (3087315).

Almost surely, 2150023016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150023016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246985200).

150023016 is an abundant number, since it is smaller than the sum of its proper divisors (343947384).

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

150023016 is a wasteful number, since it uses less digits than its factorization.

150023016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1648 counting only the distinct ones).

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

The square root of 150023016 is about 12248.3883021400. The cubic root of 150023016 is about 531.3564589233.

Adding to 150023016 its reverse (610320051), we get a palindrome (760343067).

The spelling of 150023016 in words is "one hundred fifty million, twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1619 1716 1782 2106 2376 2574 2808 3238 3432 3564 3861 4212 4857 5148 6476 7128 7722 8424 9714 10296 11583 12952 14571 15444 17809 19428 21047 23166 29142 30888 35618 38856 42094 43713 46332 53427 58284 63141 71236 84188 87426 92664 106854 116568 126282 131139 142472 160281 168376 174852 189423 213708 231517 252564 262278 320562 349704 378846 427416 463034 480843 505128 524556 568269 641124 694551 757692 926068 961686 1049112 1136538 1282248 1389102 1442529 1515384 1704807 1852136 1923372 2083653 2273076 2778204 2885058 3409614 3846744 4167306 4546152 5556408 5770116 6250959 6819228 8334612 11540232 12501918 13638456 16669224 18752877 25003836 37505754 50007672 75011508 150023016