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87016320 = 2732515107
BaseRepresentation
bin1010010111111…
…00001110000000
320001201212221200
411023330032000
5134234010240
612345021200
72104424616
oct513741600
9201655850
1087016320
1145133716
1225184800
1315048b61
14b7b16b6
15798c930
hex52fc380

87016320 has 96 divisors (see below), whose sum is σ = 300498120. Its totient is φ = 23202816.

The previous prime is 87016313. The next prime is 87016331. The reversal of 87016320 is 2361078.

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, 1794 + ... + 13313.

Almost surely, 287016320 is an apocalyptic number.

87016320 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 87016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150249060).

87016320 is an abundant number, since it is smaller than the sum of its proper divisors (213481800).

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

87016320 is a wasteful number, since it uses less digits than its factorization.

87016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15132 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87016320 is about 9328.2538558939. The cubic root of 87016320 is about 443.1324672176.

Adding to 87016320 its reverse (2361078), we get a palindrome (89377398).

The spelling of 87016320 in words is "eighty-seven million, sixteen thousand, three hundred twenty".

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 15107 30214 45321 60428 75535 90642 120856 135963 151070 181284 226605 241712 271926 302140 362568 453210 483424 543852 604280 679815 725136 906420 966848 1087704 1208560 1359630 1450272 1812840 1933696 2175408 2417120 2719260 2900544 3625680 4350816 4834240 5438520 5801088 7251360 8701632 9668480 10877040 14502720 17403264 21754080 29005440 43508160 87016320