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85543320 = 233517192207
BaseRepresentation
bin1010001100101…
…00100110011000
312221222001101010
411012110212120
5133344341240
612253253520
72056051302
oct506244630
9187861333
1085543320
1144317a65
12247942a0
1314951565
14b50a972
15779b280
hex5194998

85543320 has 128 divisors (see below), whose sum is σ = 286156800. Its totient is φ = 20330496.

The previous prime is 85543319. The next prime is 85543321. The reversal of 85543320 is 2334558.

It is an interprime number because it is at equal distance from previous prime (85543319) and next prime (85543321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85543321) by changing a digit.

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, 37657 + ... + 39863.

It is an arithmetic number, because the mean of its divisors is an integer number (2235600).

Almost surely, 285543320 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 85543320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143078400).

85543320 is an abundant number, since it is smaller than the sum of its proper divisors (200613480).

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

85543320 is a wasteful number, since it uses less digits than its factorization.

85543320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 85543320 is about 9248.9631851359. The cubic root of 85543320 is about 440.6177960695.

Adding to 85543320 its reverse (2334558), we get a palindrome (87877878).

The spelling of 85543320 in words is "eighty-five million, five hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 340 380 408 456 510 570 646 680 760 969 1020 1140 1292 1615 1938 2040 2207 2280 2584 3230 3876 4414 4845 6460 6621 7752 8828 9690 11035 12920 13242 17656 19380 22070 26484 33105 37519 38760 41933 44140 52968 66210 75038 83866 88280 112557 125799 132420 150076 167732 187595 209665 225114 251598 264840 300152 335464 375190 419330 450228 503196 562785 628995 712861 750380 838660 900456 1006392 1125570 1257990 1425722 1500760 1677320 2138583 2251140 2515980 2851444 3564305 4277166 4502280 5031960 5702888 7128610 8554332 10692915 14257220 17108664 21385830 28514440 42771660 85543320