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86004120 = 23351315471
BaseRepresentation
bin1010010000001…
…01000110011000
312222211110110210
411020011012120
5134004112440
612311211120
72063010606
oct510050630
9188743423
1086004120
1144602194
1224976aa0
1314a83217
14b5ca876
15783ca80
hex5205198

86004120 has 64 divisors (see below), whose sum is σ = 260029440. Its totient is φ = 22755200.

The previous prime is 86004103. The next prime is 86004131. The reversal of 86004120 is 2140068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12985 + ... + 18455.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 286004120 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 86004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130014720).

86004120 is an abundant number, since it is smaller than the sum of its proper divisors (174025320).

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

86004120 is a wasteful number, since it uses less digits than its factorization.

86004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 86004120 is about 9273.8406283481. The cubic root of 86004120 is about 441.4075448528.

Adding to 86004120 its reverse (2140068), we get a palindrome (88144188).

It can be divided in two parts, 8600 and 4120, that added together give a triangular number (12720 = T159).

The spelling of 86004120 in words is "eighty-six million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 5471 7860 10942 15720 16413 21884 27355 32826 43768 54710 65652 82065 109420 131304 164130 218840 328260 656520 716701 1433402 2150103 2866804 3583505 4300206 5733608 7167010 8600412 10750515 14334020 17200824 21501030 28668040 43002060 86004120