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86149980 = 22345771107
BaseRepresentation
bin1010010001010…
…00101101011100
320000002212120000
411020220231130
5134023244410
612314254300
72064156060
oct510505534
9200085500
1086149980
11446a1834
1224a27390
1314b04727
14b627aa0
15786adc0
hex5228b5c

86149980 has 240 divisors, whose sum is σ = 316141056. Its totient is φ = 19232640.

The previous prime is 86149967. The next prime is 86149997. The reversal of 86149980 is 8994168.

86149980 is a `hidden beast` number, since 86 + 1 + 499 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805087 + ... + 805193.

Almost surely, 286149980 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 86149980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158070528).

86149980 is an abundant number, since it is smaller than the sum of its proper divisors (229991076).

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

86149980 is a wasteful number, since it uses less digits than its factorization.

86149980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 86149980 is about 9281.7013526616. The cubic root of 86149980 is about 441.6569412043.

The spelling of 86149980 in words is "eighty-six million, one hundred forty-nine thousand, nine hundred eighty".