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150303006 = 23371672381
BaseRepresentation
bin10001111010101…
…11000100011110
3101110211011222000
420331113010132
5301434144011
622525303130
73503361120
oct1075270436
9343734860
10150303006
1177929967
1242404aa6
13251a6ab9
1415d67210
15d2de356
hex8f5711e

150303006 has 64 divisors (see below), whose sum is σ = 384168960. Its totient is φ = 42668640.

The previous prime is 150302989. The next prime is 150303047. The reversal of 150303006 is 600303051.

It is a super-2 number, since 2×1503030062 = 45181987225272072, which contains 22 as substring.

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 150303006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61936 + ... + 64316.

It is an arithmetic number, because the mean of its divisors is an integer number (6002640).

Almost surely, 2150303006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150303006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192084480).

150303006 is an abundant number, since it is smaller than the sum of its proper divisors (233865954).

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

150303006 is a wasteful number, since it uses less digits than its factorization.

150303006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 150303006 is about 12259.8126413090. The cubic root of 150303006 is about 531.6868127615.

Adding to 150303006 its reverse (600303051), we get a palindrome (750606057).

The spelling of 150303006 in words is "one hundred fifty million, three hundred three thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 167 189 334 378 501 1002 1169 1503 2338 2381 3006 3507 4509 4762 7014 7143 9018 10521 14286 16667 21042 21429 31563 33334 42858 50001 63126 64287 100002 128574 150003 300006 397627 450009 795254 900018 1192881 2385762 2783389 3578643 5566778 7157286 8350167 10735929 16700334 21471858 25050501 50101002 75151503 150303006