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85324320 = 2533519751
BaseRepresentation
bin1010001010111…
…11001000100000
312221112220222000
411011133020200
5133320334240
612244444000
72054146644
oct505371040
9187486860
1085324320
1144188474
12246a9600
13148a5983
14b490c24
157756430
hex515f220

85324320 has 96 divisors (see below), whose sum is σ = 298650240. Its totient is φ = 22752000.

The previous prime is 85324297. The next prime is 85324333. The reversal of 85324320 is 2342358.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5556 + ... + 14195.

It is an arithmetic number, because the mean of its divisors is an integer number (3110940).

Almost surely, 285324320 is an apocalyptic number.

85324320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85324320 is an abundant number, since it is smaller than the sum of its proper divisors (213325920).

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

85324320 is a wasteful number, since it uses less digits than its factorization.

85324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19775 (or 19761 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 85324320 is about 9237.1164331733. The cubic root of 85324320 is about 440.2414652595.

Adding to 85324320 its reverse (2342358), we get a palindrome (87666678).

The spelling of 85324320 in words is "eighty-five million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 19751 39502 59253 79004 98755 118506 158008 177759 197510 237012 296265 316016 355518 395020 474024 533277 592530 632032 711036 790040 888795 948048 1066554 1185060 1422072 1580080 1777590 1896096 2133108 2370120 2666385 2844144 3160160 3555180 4266216 4740240 5332770 5688288 7110360 8532432 9480480 10665540 14220720 17064864 21331080 28441440 42662160 85324320