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150020312 = 231341151233
BaseRepresentation
bin10001111000100…
…10000011011000
3101110021211011212
420330102003120
5301401122222
622515242252
73501103001
oct1074220330
9343254155
10150020312
1177756532
12422a9388
1325108220
1415cd21a8
15d2856e2
hex8f120d8

150020312 has 64 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 66816000.

The previous prime is 150020293. The next prime is 150020327. The reversal of 150020312 is 213020051.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 643748 + ... + 643980.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2150020312 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 150020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

150020312 is an abundant number, since it is smaller than the sum of its proper divisors (163689448).

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

150020312 is a wasteful number, since it uses less digits than its factorization.

150020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 150020312 is about 12248.2779197730. The cubic root of 150020312 is about 531.3532665320.

Adding to 150020312 its reverse (213020051), we get a palindrome (363040363).

It can be divided in two parts, 1500 and 20312, that added together give a palindrome (21812).

The spelling of 150020312 in words is "one hundred fifty million, twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 41 52 82 104 151 164 233 302 328 466 533 604 932 1066 1208 1864 1963 2132 3029 3926 4264 6058 6191 7852 9553 12116 12382 15704 19106 24232 24764 35183 38212 49528 70366 76424 80483 124189 140732 160966 248378 281464 321932 457379 496756 643864 914758 993512 1442503 1829516 2885006 3659032 5770012 11540024 18752539 37505078 75010156 150020312