Search a number
-
+
150004512 = 25327372011
BaseRepresentation
bin10001111000011…
…10001100100000
3101110021000111200
420330032030200
5301400121022
622515041200
73501005640
oct1074161440
9343230450
10150004512
1177745679
12422a0200
1325100c88
1415cca520
15d280bac
hex8f0e320

150004512 has 144 divisors (see below), whose sum is σ = 500939712. Its totient is φ = 41679360.

The previous prime is 150004471. The next prime is 150004513. The reversal of 150004512 is 215400051.

150004512 is a `hidden beast` number, since 150 + 0 + 0 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150004513) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73587 + ... + 75597.

It is an arithmetic number, because the mean of its divisors is an integer number (3478748).

Almost surely, 2150004512 is an apocalyptic number.

150004512 is a gapful number since it is divisible by the number (12) 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 150004512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250469856).

150004512 is an abundant number, since it is smaller than the sum of its proper divisors (350935200).

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

150004512 is a wasteful number, since it uses less digits than its factorization.

150004512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 150004512 is about 12247.6329141594. The cubic root of 150004512 is about 531.3346119995.

Adding to 150004512 its reverse (215400051), we get a palindrome (365404563).

The spelling of 150004512 in words is "one hundred fifty million, four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2011 2016 2072 2331 2664 3108 3552 4022 4144 4662 5328 6033 6216 8044 8288 9324 10656 12066 12432 14077 16088 18099 18648 24132 24864 28154 32176 36198 37296 42231 48264 56308 64352 72396 74407 74592 84462 96528 112616 126693 144792 148814 168924 193056 223221 225232 253386 289584 297628 337848 446442 450464 506772 520849 579168 595256 669663 675696 892884 1013544 1041698 1190512 1339326 1351392 1562547 1785768 2027088 2083396 2381024 2678652 3125094 3571536 4054176 4166792 4687641 5357304 6250188 7143072 8333584 9375282 10714608 12500376 16667168 18750564 21429216 25000752 37501128 50001504 75002256 150004512