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8133480 = 2333517443
BaseRepresentation
bin11111000001101101101000
3120022020001000
4133001231220
54040232410
6450155000
7126063525
oct37015550
916266030
108133480
114655893
122882a60
1318ba114
14111a14c
15aa9dc0
hex7c1b68

8133480 has 128 divisors (see below), whose sum is σ = 28771200. Its totient is φ = 2036736.

The previous prime is 8133469. The next prime is 8133481. The reversal of 8133480 is 843318.

8133480 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 not an unprimeable number, because it can be changed into a prime (8133481) 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, 18139 + ... + 18581.

It is an arithmetic number, because the mean of its divisors is an integer number (224775).

Almost surely, 28133480 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 8133480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385600).

8133480 is an abundant number, since it is smaller than the sum of its proper divisors (20637720).

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

8133480 is a wasteful number, since it uses less digits than its factorization.

8133480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8133480 is about 2851.9256652304. The cubic root of 8133480 is about 201.1062036207.

Adding to 8133480 its reverse (843318), we get a palindrome (8976798).

The spelling of 8133480 in words is "eight million, one hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 443 459 510 540 612 680 765 886 918 1020 1080 1224 1329 1530 1772 1836 2040 2215 2295 2658 3060 3544 3672 3987 4430 4590 5316 6120 6645 7531 7974 8860 9180 10632 11961 13290 15062 15948 17720 18360 19935 22593 23922 26580 30124 31896 37655 39870 45186 47844 53160 59805 60248 67779 75310 79740 90372 95688 112965 119610 135558 150620 159480 180744 203337 225930 239220 271116 301240 338895 406674 451860 478440 542232 677790 813348 903720 1016685 1355580 1626696 2033370 2711160 4066740 8133480