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150150168 = 233272910273
BaseRepresentation
bin10001111001100…
…01110000011000
3101110112102022100
420330301300120
5301414301133
622522123400
73502153410
oct1074616030
9343472270
10150150168
1177835053
1242350560
132515236c
1415d27640
15d2ade13
hex8f31c18

150150168 has 96 divisors (see below), whose sum is σ = 480823200. Its totient is φ = 41416704.

The previous prime is 150150127. The next prime is 150150191. The reversal of 150150168 is 861051051.

150150168 is a `hidden beast` number, since 150 + 1 + 501 + 6 + 8 = 666.

It is a congruent number.

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, 9480 + ... + 19752.

It is an arithmetic number, because the mean of its divisors is an integer number (5008575).

Almost surely, 2150150168 is an apocalyptic number.

150150168 is a gapful number since it is divisible by the number (18) 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 150150168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240411600).

150150168 is an abundant number, since it is smaller than the sum of its proper divisors (330673032).

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

150150168 is a wasteful number, since it uses less digits than its factorization.

150150168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 150150168 is about 12253.5777632494. The cubic root of 150150168 is about 531.5065335798.

The spelling of 150150168 in words is "one hundred fifty million, one hundred fifty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 10273 14616 20546 30819 41092 61638 71911 82184 92457 123276 143822 184914 215733 246552 287644 297917 369828 431466 575288 595834 647199 739656 862932 893751 1191668 1294398 1725864 1787502 2085419 2383336 2588796 2681253 3575004 4170838 5177592 5362506 6256257 7150008 8341676 10725012 12512514 16683352 18768771 21450024 25025028 37537542 50050056 75075084 150150168