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86450980 = 22571173769
BaseRepresentation
bin1010010011100…
…10001100100100
320000200011110011
411021302030210
5134112412410
612324540004
72066551450
oct511621444
9200604404
1086450980
11448879a0
1224b51604
1314bab735
14b6a5660
1578ca18a
hex5272324

86450980 has 96 divisors (see below), whose sum is σ = 229743360. Its totient is φ = 26542080.

The previous prime is 86450963. The next prime is 86450999. The reversal of 86450980 is 8905468.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112036 + ... + 112804.

It is an arithmetic number, because the mean of its divisors is an integer number (2393160).

Almost surely, 286450980 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 86450980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114871680).

86450980 is an abundant number, since it is smaller than the sum of its proper divisors (143292380).

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

86450980 is a wasteful number, since it uses less digits than its factorization.

86450980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 86450980 is about 9297.9019138728. The cubic root of 86450980 is about 442.1707127066.

The spelling of 86450980 in words is "eighty-six million, four hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 769 770 803 1022 1460 1538 1540 1606 2044 2555 3076 3212 3845 4015 5110 5383 5621 7690 8030 8459 10220 10766 11242 15380 16060 16918 21532 22484 26915 28105 33836 42295 53830 56137 56210 59213 84590 107660 112274 112420 118426 169180 224548 236852 280685 296065 392959 561370 592130 617507 785918 1122740 1184260 1235014 1571836 1964795 2470028 3087535 3929590 4322549 6175070 7859180 8645098 12350140 17290196 21612745 43225490 86450980