Search a number
-
+
86051784 = 23371331241
BaseRepresentation
bin1010010000100…
…00101111001000
312222220212212010
411020100233020
5134012124114
612312215520
72063266560
oct510205710
9188825763
1086051784
1144634a85
122499a5a0
1314a9bb20
14b5ddda0
15784bc59
hex5210bc8

86051784 has 192 divisors, whose sum is σ = 280264320. Its totient is φ = 21427200.

The previous prime is 86051747. The next prime is 86051813. The reversal of 86051784 is 48715068.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098804 + ... + 2098844.

It is an arithmetic number, because the mean of its divisors is an integer number (1459710).

Almost surely, 286051784 is an apocalyptic number.

86051784 is a gapful number since it is divisible by the number (84) 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 86051784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

86051784 is an abundant number, since it is smaller than the sum of its proper divisors (194212536).

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

86051784 is a wasteful number, since it uses less digits than its factorization.

86051784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 86051784 is about 9276.4100814917. The cubic root of 86051784 is about 441.4890733645.

The spelling of 86051784 in words is "eighty-six million, fifty-one thousand, seven hundred eighty-four".