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86053380 = 22357331619
BaseRepresentation
bin1010010000100…
…01001000000100
312222220222001020
411020101020010
5134012202010
612312231140
72063304330
oct510211004
9188828036
1086053380
11446361a6
122499b4b0
1314a9c77a
14b6007c0
15784c470
hex5211204

86053380 has 96 divisors (see below), whose sum is σ = 276648960. Its totient is φ = 19578240.

The previous prime is 86053361. The next prime is 86053417. The reversal of 86053380 is 8335068.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138711 + ... + 139329.

It is an arithmetic number, because the mean of its divisors is an integer number (2881760).

Almost surely, 286053380 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 86053380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138324480).

86053380 is an abundant number, since it is smaller than the sum of its proper divisors (190595580).

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

86053380 is a wasteful number, since it uses less digits than its factorization.

86053380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 86053380 is about 9276.4961057503. The cubic root of 86053380 is about 441.4918027761.

The spelling of 86053380 in words is "eighty-six million, fifty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 331 420 619 662 993 1238 1324 1655 1857 1986 2317 2476 3095 3310 3714 3972 4333 4634 4965 6190 6620 6951 7428 8666 9268 9285 9930 11585 12380 12999 13902 17332 18570 19860 21665 23170 25998 27804 34755 37140 43330 46340 51996 64995 69510 86660 129990 139020 204889 259980 409778 614667 819556 1024445 1229334 1434223 2048890 2458668 2868446 3073335 4097780 4302669 5736892 6146670 7171115 8605338 12293340 14342230 17210676 21513345 28684460 43026690 86053380