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85015680 = 273544279
BaseRepresentation
bin1010001000100…
…11110010000000
312220222020120220
411010103302000
5133231000210
612234103040
72051423061
oct504236200
9186866526
1085015680
1143a975a2
122457aa80
13147c8349
14b410568
1576e4c70
hex5113c80

85015680 has 64 divisors (see below), whose sum is σ = 270993600. Its totient is φ = 22670336.

The previous prime is 85015669. The next prime is 85015717. The reversal of 85015680 is 8651058.

It is a tau number, because it is divible by the number of its divisors (64).

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, 20220 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (4234275).

Almost surely, 285015680 is an apocalyptic number.

85015680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85015680 is an abundant number, since it is smaller than the sum of its proper divisors (185977920).

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

85015680 is a wasteful number, since it uses less digits than its factorization.

85015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44301 (or 44289 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 85015680 is about 9220.3947854742. The cubic root of 85015680 is about 439.7100017454.

The spelling of 85015680 in words is "eighty-five million, fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 44279 88558 132837 177116 221395 265674 354232 442790 531348 664185 708464 885580 1062696 1328370 1416928 1771160 2125392 2656740 2833856 3542320 4250784 5313480 5667712 7084640 8501568 10626960 14169280 17003136 21253920 28338560 42507840 85015680