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8073120 = 2535112139
BaseRepresentation
bin11110110010111110100000
3120012011020110
4132302332200
54031314440
6445011320
7125422536
oct36627640
916164213
108073120
114614500
122853b40
1318987c3
141102156
15a97080
hex7b2fa0

8073120 has 144 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 1943040.

The previous prime is 8073103. The next prime is 8073127. The reversal of 8073120 is 213708.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8073127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58011 + ... + 58149.

It is an arithmetic number, because the mean of its divisors is an integer number (195510).

Almost surely, 28073120 is an apocalyptic number.

8073120 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 8073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

8073120 is an abundant number, since it is smaller than the sum of its proper divisors (20080320).

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

8073120 is a wasteful number, since it uses less digits than its factorization.

8073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8073120 is about 2841.3236352095. The cubic root of 8073120 is about 200.6074862673.

Adding to 8073120 its reverse (213708), we get a palindrome (8286828).

The spelling of 8073120 in words is "eight million, seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 139 160 165 176 220 240 242 264 278 330 352 363 417 440 480 484 528 556 605 660 695 726 834 880 968 1056 1112 1210 1320 1390 1452 1529 1668 1760 1815 1936 2085 2224 2420 2640 2780 2904 3058 3336 3630 3872 4170 4448 4587 4840 5280 5560 5808 6116 6672 7260 7645 8340 9174 9680 11120 11616 12232 13344 14520 15290 16680 16819 18348 19360 22240 22935 24464 29040 30580 33360 33638 36696 45870 48928 50457 58080 61160 66720 67276 73392 84095 91740 100914 122320 134552 146784 168190 183480 201828 244640 252285 269104 336380 366960 403656 504570 538208 672760 733920 807312 1009140 1345520 1614624 2018280 2691040 4036560 8073120