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8081640 = 2333571069
BaseRepresentation
bin11110110101000011101000
3120012120221000
4132311003220
54032103030
6445115000
7125456430
oct36650350
916176830
108081640
11461a946
122858a60
13189c648
1411052c0
15a99860
hex7b50e8

8081640 has 128 divisors (see below), whose sum is σ = 30816000. Its totient is φ = 1845504.

The previous prime is 8081629. The next prime is 8081641. The reversal of 8081640 is 461808.

8081640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8081641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7026 + ... + 8094.

It is an arithmetic number, because the mean of its divisors is an integer number (240750).

Almost surely, 28081640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408000).

8081640 is an abundant number, since it is smaller than the sum of its proper divisors (22734360).

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

8081640 is a wasteful number, since it uses less digits than its factorization.

8081640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8081640 is about 2842.8225410672. The cubic root of 8081640 is about 200.6780320981.

The spelling of 8081640 in words is "eight million, eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1069 1080 1260 1512 1890 2138 2520 3207 3780 4276 5345 6414 7483 7560 8552 9621 10690 12828 14966 16035 19242 21380 22449 25656 28863 29932 32070 37415 38484 42760 44898 48105 57726 59864 64140 67347 74830 76968 89796 96210 112245 115452 128280 134694 144315 149660 179592 192420 202041 224490 230904 269388 288630 299320 336735 384840 404082 448980 538776 577260 673470 808164 897960 1010205 1154520 1346940 1616328 2020410 2693880 4040820 8081640