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85421120 = 2653179109
BaseRepresentation
bin1010001011101…
…10110001000000
312221201211202012
411011312301000
5133331433440
612250512052
72055032111
oct505666100
9187654665
1085421120
1144244174
1224735628
131490aa55
14b4b8208
157774e65
hex5176c40

85421120 has 112 divisors (see below), whose sum is σ = 214579200. Its totient is φ = 32348160.

The previous prime is 85421117. The next prime is 85421159. The reversal of 85421120 is 2112458.

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, 783626 + ... + 783734.

Almost surely, 285421120 is an apocalyptic number.

85421120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107289600).

85421120 is an abundant number, since it is smaller than the sum of its proper divisors (129158080).

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

85421120 is a wasteful number, since it uses less digits than its factorization.

85421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85421120 is about 9242.3546783274. The cubic root of 85421120 is about 440.4078862297.

Adding to 85421120 its reverse (2112458), we get a palindrome (87533578).

The spelling of 85421120 in words is "eighty-five million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 79 80 109 124 155 158 160 218 248 310 316 320 395 436 496 545 620 632 790 872 992 1090 1240 1264 1580 1744 1984 2180 2449 2480 2528 3160 3379 3488 4360 4898 4960 5056 6320 6758 6976 8611 8720 9796 9920 12245 12640 13516 16895 17222 17440 19592 24490 25280 27032 33790 34444 34880 39184 43055 48980 54064 67580 68888 78368 86110 97960 108128 135160 137776 156736 172220 195920 216256 266941 270320 275552 344440 391840 533882 540640 551104 688880 783680 1067764 1081280 1334705 1377760 2135528 2669410 2755520 4271056 5338820 8542112 10677640 17084224 21355280 42710560 85421120