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150200424 = 233211199953
BaseRepresentation
bin10001111001111…
…10000001101000
3101110121222020200
420330332001220
5301422403144
622523152200
73502453053
oct1074760150
9343558220
10150200424
1177869890
1242375660
132516c1ba
1415d3ba9a
15d2bdc69
hex8f3e068

150200424 has 96 divisors (see below), whose sum is σ = 446472000. Its totient is φ = 45239040.

The previous prime is 150200417. The next prime is 150200431. The reversal of 150200424 is 424002051.

150200424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150200417) and next prime (150200431).

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

It is a junction number, because it is equal to n+sod(n) for n = 150200397 and 150200406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157132 + ... + 158084.

It is an arithmetic number, because the mean of its divisors is an integer number (4650750).

Almost surely, 2150200424 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 150200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223236000).

150200424 is an abundant number, since it is smaller than the sum of its proper divisors (296271576).

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

150200424 is a wasteful number, since it uses less digits than its factorization.

150200424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150200424 is about 12255.6282580698. The cubic root of 150200424 is about 531.5658262490.

Adding to 150200424 its reverse (424002051), we get a palindrome (574202475).

The spelling of 150200424 in words is "one hundred fifty million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 199 264 396 398 597 792 796 953 1194 1592 1791 1906 2189 2388 2859 3582 3812 4378 4776 5718 6567 7164 7624 8577 8756 10483 11436 13134 14328 17154 17512 19701 20966 22872 26268 31449 34308 39402 41932 52536 62898 68616 78804 83864 94347 125796 157608 188694 189647 251592 377388 379294 568941 754776 758588 1137882 1517176 1706823 2086117 2275764 3413646 4172234 4551528 6258351 6827292 8344468 12516702 13654584 16688936 18775053 25033404 37550106 50066808 75100212 150200424