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85347840 = 293511113
BaseRepresentation
bin1010001011001…
…00111000000000
312221121010020010
411011210320000
5133322112330
612245144520
72054305344
oct505447000
9187533203
1085347840
11441a4106
12246bb140
13148b35a6
14b499624
15775d3b0
hex5164e00

85347840 has 80 divisors (see below), whose sum is σ = 272870928. Its totient is φ = 22757376.

The previous prime is 85347833. The next prime is 85347853. The reversal of 85347840 is 4874358.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2124 + ... + 13236.

Almost surely, 285347840 is an apocalyptic number.

85347840 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 85347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136435464).

85347840 is an abundant number, since it is smaller than the sum of its proper divisors (187523088).

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

85347840 is a wasteful number, since it uses less digits than its factorization.

85347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 85347840 is about 9238.3894700321. The cubic root of 85347840 is about 440.2819130005.

The spelling of 85347840 in words is "eighty-five million, three hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 11113 22226 33339 44452 55565 66678 88904 111130 133356 166695 177808 222260 266712 333390 355616 444520 533424 666780 711232 889040 1066848 1333560 1422464 1778080 2133696 2667120 2844928 3556160 4267392 5334240 5689856 7112320 8534784 10668480 14224640 17069568 21336960 28449280 42673920 85347840