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85391360 = 211531269
BaseRepresentation
bin1010001011011…
…11100000000000
312221200022220222
411011233200000
5133330010420
612250122212
72054546255
oct505574000
9187608828
1085391360
114422387a
1224720368
13148ca342
14b4ab42c
15776b225
hex516f800

85391360 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 32931840.

The previous prime is 85391333. The next prime is 85391431. The reversal of 85391360 is 6319358.

It is a self number, because there is not a number n which added to its sum of digits gives 85391360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317306 + ... + 317574.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 285391360 is an apocalyptic number.

85391360 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 85391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

85391360 is an abundant number, since it is smaller than the sum of its proper divisors (126893440).

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

85391360 is a wasteful number, since it uses less digits than its factorization.

85391360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 85391360 is about 9240.7445587463. The cubic root of 85391360 is about 440.3567354875.

The spelling of 85391360 in words is "eighty-five million, three hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 269 310 320 496 512 538 620 640 992 1024 1076 1240 1280 1345 1984 2048 2152 2480 2560 2690 3968 4304 4960 5120 5380 7936 8339 8608 9920 10240 10760 15872 16678 17216 19840 21520 31744 33356 34432 39680 41695 43040 63488 66712 68864 79360 83390 86080 133424 137728 158720 166780 172160 266848 275456 317440 333560 344320 533696 550912 667120 688640 1067392 1334240 1377280 2134784 2668480 2754560 4269568 5336960 8539136 10673920 17078272 21347840 42695680 85391360