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80896320 = 263453121
BaseRepresentation
bin1001101001001…
…10000101000000
312122012221220000
410310212011000
5131202140240
612005520000
72001415221
oct464460500
9178187800
1080896320
114173366a
1223113000
13139b535b
14aa5b248
15717e430
hex4d26140

80896320 has 140 divisors (see below), whose sum is σ = 287854644. Its totient is φ = 21565440.

The previous prime is 80896301. The next prime is 80896327. The reversal of 80896320 is 2369808.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 72182016 = 2952^2 + 8496^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80896327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24360 + ... + 27480.

Almost surely, 280896320 is an apocalyptic number.

80896320 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 80896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143927322).

80896320 is an abundant number, since it is smaller than the sum of its proper divisors (206958324).

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

80896320 is a wasteful number, since it uses less digits than its factorization.

80896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80896320 is about 8994.2381556194. The cubic root of 80896320 is about 432.4901843251.

The spelling of 80896320 in words is "eighty million, eight hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3121 3240 4320 5184 6242 6480 8640 9363 12484 12960 15605 18726 24968 25920 28089 31210 37452 46815 49936 56178 62420 74904 84267 93630 99872 112356 124840 140445 149808 168534 187260 199744 224712 249680 252801 280890 299616 337068 374520 421335 449424 499360 505602 561780 599232 674136 749040 842670 898848 998720 1011204 1123560 1264005 1348272 1498080 1685340 1797696 2022408 2247120 2528010 2696544 2996160 3370680 4044816 4494240 5056020 5393088 6741360 8089632 8988480 10112040 13482720 16179264 20224080 26965440 40448160 80896320