Search a number
-
+
86381712 = 24322112843
BaseRepresentation
bin1010010011000…
…01010010010000
320000112122102200
411021201102100
5134103203322
612323243200
72066142504
oct511412220
9200478380
1086381712
114483a94a
1224b19500
1314b86051
14b688304
1578b48ac
hex5261490

86381712 has 60 divisors (see below), whose sum is σ = 242979984. Its totient is φ = 28647360.

The previous prime is 86381677. The next prime is 86381753. The reversal of 86381712 is 21718368.

86381712 is a `hidden beast` number, since 8 + 638 + 1 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28963 + ... + 31805.

Almost surely, 286381712 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 86381712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121489992).

86381712 is an abundant number, since it is smaller than the sum of its proper divisors (156598272).

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

86381712 is a wasteful number, since it uses less digits than its factorization.

86381712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 86381712 is about 9294.1762410662. The cubic root of 86381712 is about 442.0525861692.

The spelling of 86381712 in words is "eighty-six million, three hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 2843 3376 3798 5064 5686 7596 8529 10128 11372 15192 17058 22744 25587 30384 34116 45488 51174 68232 102348 136464 204696 409392 599873 1199746 1799619 2399492 3599238 4798984 5398857 7198476 9597968 10797714 14396952 21595428 28793904 43190856 86381712