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85011840 = 2732514759
BaseRepresentation
bin1010001000100…
…10110110000000
312220222001022200
411010102312000
5133230334330
612234033200
72051405634
oct504226600
9186861280
1085011840
1143a94721
1224578800
13147c6684
14b40cdc4
1576e3a60
hex5112d80

85011840 has 96 divisors (see below), whose sum is σ = 293576400. Its totient is φ = 22668288.

The previous prime is 85011809. The next prime is 85011859. The reversal of 85011840 is 4811058.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620 + ... + 13139.

Almost surely, 285011840 is an apocalyptic number.

85011840 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 85011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146788200).

85011840 is an abundant number, since it is smaller than the sum of its proper divisors (208564560).

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

85011840 is a wasteful number, since it uses less digits than its factorization.

85011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85011840 is about 9220.1865490889. The cubic root of 85011840 is about 439.7033813516.

Adding to 85011840 its reverse (4811058), we get a palindrome (89822898).

The spelling of 85011840 in words is "eighty-five million, eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 14759 29518 44277 59036 73795 88554 118072 132831 147590 177108 221385 236144 265662 295180 354216 442770 472288 531324 590360 664155 708432 885540 944576 1062648 1180720 1328310 1416864 1771080 1889152 2125296 2361440 2656620 2833728 3542160 4250592 4722880 5313240 5667456 7084320 8501184 9445760 10626480 14168640 17002368 21252960 28337280 42505920 85011840