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84090150 = 23752769
BaseRepresentation
bin1010000001100…
…01110100100110
312212020020000000
411000301310212
5133011341100
612202202130
72040516534
oct500616446
9185206000
1084090150
11435151a1
12241b3346
1314562cb1
14b24d154
1575b0900
hex5031d26

84090150 has 96 divisors (see below), whose sum is σ = 234880800. Its totient is φ = 22394880.

The previous prime is 84090131. The next prime is 84090151. The reversal of 84090150 is 5109048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84090151) 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 47 ways as a sum of consecutive naturals, for example, 108966 + ... + 109734.

It is an arithmetic number, because the mean of its divisors is an integer number (2446675).

Almost surely, 284090150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84090150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440400).

84090150 is an abundant number, since it is smaller than the sum of its proper divisors (150790650).

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

84090150 is an equidigital number, since it uses as much as digits as its factorization.

84090150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 84090150 is about 9170.0681567805. The cubic root of 84090150 is about 438.1085300581.

Adding to 84090150 its reverse (5109048), we get a palindrome (89199198).

The spelling of 84090150 in words is "eighty-four million, ninety thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 769 810 1215 1350 1458 1538 2025 2187 2307 2430 3645 3845 4050 4374 4614 6075 6921 7290 7690 10935 11535 12150 13842 18225 19225 20763 21870 23070 34605 36450 38450 41526 54675 57675 62289 69210 103815 109350 115350 124578 173025 186867 207630 311445 346050 373734 519075 560601 622890 934335 1038150 1121202 1557225 1681803 1868670 2803005 3114450 3363606 4671675 5606010 8409015 9343350 14015025 16818030 28030050 42045075 84090150