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8061480 = 2332572457
BaseRepresentation
bin11110110000001000101000
3120011120021100
4132300020220
54030431410
6444441400
7125343600
oct36601050
916146240
108061480
114606789
122849260
13189340b
1410dbc00
15a938c0
hex7b0228

8061480 has 144 divisors (see below), whose sum is σ = 30544020. Its totient is φ = 1838592.

The previous prime is 8061467. The next prime is 8061481. The reversal of 8061480 is 841608.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 142884 = 2814^2 + 378^2 .

It is not an unprimeable number, because it can be changed into a prime (8061481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17412 + ... + 17868.

Almost surely, 28061480 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 8061480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272010).

8061480 is an abundant number, since it is smaller than the sum of its proper divisors (22482540).

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

8061480 is a wasteful number, since it uses less digits than its factorization.

8061480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

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

The square root of 8061480 is about 2839.2745552341. The cubic root of 8061480 is about 200.5110264809.

The spelling of 8061480 in words is "eight million, sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 457 490 504 588 630 735 840 882 914 980 1176 1260 1371 1470 1764 1828 1960 2205 2285 2520 2742 2940 3199 3528 3656 4113 4410 4570 5484 5880 6398 6855 8226 8820 9140 9597 10968 12796 13710 15995 16452 17640 18280 19194 20565 22393 25592 27420 28791 31990 32904 38388 41130 44786 47985 54840 57582 63980 67179 76776 82260 89572 95970 111965 115164 127960 134358 143955 164520 179144 191940 201537 223930 230328 268716 287910 335895 383880 403074 447860 537432 575820 671790 806148 895720 1007685 1151640 1343580 1612296 2015370 2687160 4030740 8061480