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81810720 = 2532556813
BaseRepresentation
bin1001110000001…
…01010100100000
312200221102012200
410320011110200
5131420420340
612041253200
72012244135
oct470052440
9180842180
1081810720
11421a8672
1223494200
1313c45614
14ac1858c
1572b0330
hex4e05520

81810720 has 72 divisors (see below), whose sum is σ = 279183996. Its totient is φ = 21815808.

The previous prime is 81810719. The next prime is 81810731. The reversal of 81810720 is 2701818.

It can be written as a sum of positive squares in 2 ways, for example, as 76108176 + 5702544 = 8724^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 26967 + ... + 29846.

Almost surely, 281810720 is an apocalyptic number.

81810720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81810720 is an abundant number, since it is smaller than the sum of its proper divisors (197373276).

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

81810720 is a wasteful number, since it uses less digits than its factorization.

81810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56834 (or 56823 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 81810720 is about 9044.9278604088. The cubic root of 81810720 is about 434.1136132153.

The spelling of 81810720 in words is "eighty-one million, eight hundred ten thousand, seven 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 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 56813 113626 170439 227252 284065 340878 454504 511317 568130 681756 852195 909008 1022634 1136260 1363512 1704390 1818016 2045268 2272520 2556585 2727024 3408780 4090536 4545040 5113170 5454048 6817560 8181072 9090080 10226340 13635120 16362144 20452680 27270240 40905360 81810720