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86671340 = 22572332657
BaseRepresentation
bin1010010101001…
…11111111101100
320001002100201122
411022213333230
5134141440330
612333400112
72101460060
oct512477754
9201070648
1086671340
1144a18508
1225039038
1314c57b22
14b721aa0
1579205e5
hex52a7fec

86671340 has 48 divisors (see below), whose sum is σ = 208982592. Its totient is φ = 29577216.

The previous prime is 86671309. The next prime is 86671349. The reversal of 86671340 is 4317668.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 86671340.

It is not an unprimeable number, because it can be changed into a prime (86671349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31292 + ... + 33948.

It is an arithmetic number, because the mean of its divisors is an integer number (4353804).

Almost surely, 286671340 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 86671340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104491296).

86671340 is an abundant number, since it is smaller than the sum of its proper divisors (122311252).

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

86671340 is a wasteful number, since it uses less digits than its factorization.

86671340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 86671340 is about 9309.7443573924. The cubic root of 86671340 is about 442.5460856169.

The spelling of 86671340 in words is "eighty-six million, six hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 932 1165 1631 2330 2657 3262 4660 5314 6524 8155 10628 13285 16310 18599 26570 32620 37198 53140 74396 92995 185990 371980 619081 1238162 2476324 3095405 4333567 6190810 8667134 12381620 17334268 21667835 43335670 86671340