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86083900 = 22527313967
BaseRepresentation
bin1010010000110…
…00100100111100
312222222111220121
411020120210330
5134014141100
612313024324
72063462320
oct510304474
9188874817
1086083900
1144657121
12249b50a4
1314ab0626
14b60b980
15785651a
hex521893c

86083900 has 72 divisors (see below), whose sum is σ = 220430336. Its totient is φ = 28555200.

The previous prime is 86083859. The next prime is 86083901. The reversal of 86083900 is 938068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86083901) 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 23 ways as a sum of consecutive naturals, for example, 19717 + ... + 23683.

Almost surely, 286083900 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 86083900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110215168).

86083900 is an abundant number, since it is smaller than the sum of its proper divisors (134346436).

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

86083900 is a wasteful number, since it uses less digits than its factorization.

86083900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 86083900 is about 9278.1409775881. The cubic root of 86083900 is about 441.5439902950.

The spelling of 86083900 in words is "eighty-six million, eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 3967 4340 5425 7934 10850 15868 19835 21700 27769 39670 55538 79340 99175 111076 122977 138845 198350 245954 277690 396700 491908 555380 614885 694225 860839 1229770 1388450 1721678 2459540 2776900 3074425 3443356 4304195 6148850 8608390 12297700 17216780 21520975 43041950 86083900