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150016812 = 223113161601
BaseRepresentation
bin10001111000100…
…01001100101100
3101110021122101020
420330101030230
5301401014222
622515214140
73501056541
oct1074211454
9343248336
10150016812
1177753940
12422a7350
132510675a
1415cd0bc8
15d28465c
hex8f1132c

150016812 has 96 divisors (see below), whose sum is σ = 401307648. Its totient is φ = 43200000.

The previous prime is 150016807. The next prime is 150016859. The reversal of 150016812 is 218610051.

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, 249312 + ... + 249912.

It is an arithmetic number, because the mean of its divisors is an integer number (4180288).

Almost surely, 2150016812 is an apocalyptic number.

150016812 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 150016812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200653824).

150016812 is an abundant number, since it is smaller than the sum of its proper divisors (251290836).

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

150016812 is a wasteful number, since it uses less digits than its factorization.

150016812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 150016812 is about 12248.1350417115. The cubic root of 150016812 is about 531.3491343118.

Adding to 150016812 its reverse (218610051), we get a palindrome (368626863).

The spelling of 150016812 in words is "one hundred fifty million, sixteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 61 62 66 93 122 124 132 183 186 244 341 366 372 601 671 682 732 1023 1202 1342 1364 1803 1891 2013 2046 2404 2684 3606 3782 4026 4092 5673 6611 7212 7564 8052 11346 13222 18631 19833 20801 22692 26444 36661 37262 39666 41602 55893 62403 73322 74524 79332 83204 109983 111786 124806 146644 204941 219966 223572 249612 403271 409882 439932 614823 806542 819764 1136491 1209813 1229646 1613084 2272982 2419626 2459292 3409473 4545964 4839252 6818946 12501401 13637892 25002802 37504203 50005604 75008406 150016812